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Recent questions tagged polynomials
Questions
Find the number of roots of (x^n-b)^2 =0
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If a and b are the roots of equation $2x^2-8x+5=0,$ find the value of $(a/b + b/a) + (1/a + 1/b) -ab$
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If x is rational and 4(x^2 + 1/(x^2)) + 16(x + 1/x) -57=0 then find x.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If (x+1)(x+3)(x+5)(x+7)=5760, find the real value of x
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If the roots of the equation x^2+px+3=0 are two sccessive odd natural numbers then find the value of p.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a number is increased by 4 the result is equal to 5 more than the twice the reciprocal of the number. Find the original number.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a positive number is decreased by 2 and the squared the resultant number is 2 less than the original number. Find a possible value of the number.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
how many common roots are there between x^2-5x+6=0 and x^2+5x+6=0?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
In the equation x^2-2px+2p=0 if p is real find the nature of the roots
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
How many roots of the equation x^3-3x^2+4=0 are roots of the equation x^2+x-6=0?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If $ax^3+bx^2+cx+d=0$ has exactly $2$ positive roots and $b<0,c>0,$ then which of the following cannot be true
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If the equation 3x^4-13x^3+7x^2+17x+a-10=0 has exactly 3 positive roots, then a can be
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If x^2-3x+2 is a factor of x^4-ax^2+b=0 then the value of a and b are
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Value of the expression (x^2-x+1)/x-1 cannot lie between
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If the expression $ax^2+bx+c$ is equal to $4$ when $x=0$ leaves a remainder 4 when divided by $x+1$ and a remainder 6 when divided by $x+2$, then the values of a,b,c are respectively
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If q,r>0 then roots of the equation x^2+qx-r=0 are
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If p and q are the roots of the equation x^2 -px +q=0, then
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Sum of real roots of the equation x^2+5x+6=0
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a,b belong to {1,2,3,4}, then the number of the equations of the form ax^2 +bx +1=0 having real roots is
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a^2 + b^2 +c^2 =1, then which of the following cannot be a value of (ab+bc+ca)?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
For what value of c the quadratic equation $x^2-(c+6)x+2(2c-1)=0$ has sum of the roots as half of their product?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If equation x^2+bx+12=0 gives 2 as its one of the roots and x^2+bx+q=0 gives equal roots then the value of b is
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Two numbers a and b are such that the quadratic equation $ax^2+3x+2b=0$ has -6 as the sum and product of its roots. Find a+b.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a and b are the roots of the quadratic equation $5y^2-7y+1=0$ then find the value of $(1/a + 1/b)$
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If $x^2+ax+b$ leaves the same remainder $5$ when divided by $x-1$ or $x+1$ then the values of a and b are respectively
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
The sum of a fraction and its reciprocal equals 85/18. Find the fraction
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
The expression x^2+kx+9 becomes positive for what value of k(x is real)
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
For what value would the equation x^2+bx+c=0 have roots equal to b and c
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
For the equation 2^(a+3) = 4^(a+2) -48, the value of a will be
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of $x^2$ correctly as -6 and 1 respectively. The correct roots are
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If p and q are the roots of the equation x^2 +px +q=0
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
No. of roots of the equation x-(2/x-1) = 1-(2/x-1) is
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If the roots of the equation $ax^2 -bx +c=0$ differ by $2$, then which of the following is true?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
What is the condition for one root of the quadratic equation $ax^2 +bx +c$ to be twice of each other
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
The product of roots of equation mx^2 +6x +2m-1 =0 is -1. Then m is
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
Factorise x^3 +13x^2 +32x +20
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Find the value of k if x-1 is a factor of kx^2 -3x +k
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Which of the equation is polynomial in one variable
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
How many possible roots than a fourth degree polynomials can have?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a + b + c = 0, then x^(a*a/bc) * x^(b*b/ac) * x^(c*c/ac) is equal to
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Find the remainder when 9x^3 – 3x^2 + x – 5 is divided by x-(2/3)
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
4 ^(44) + 4^(44) + 4^(44) + 4^(44) = 4^x. find x
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
Set of values of x, if (x + 8)^(1/2) + (2x + 2)^(1/2) = 1, is _____.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
Remainder when a^2 + b^2 + 2(ab + bc + ca) is divided by (a + b + 2c) is _______.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If the product of two surds is a rational number, then each one of them is called the _____ of the other.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
If x < –1, then which of the following expressions holds?
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
1
answer
The expression (a + b + c)^2 + (a + b – c)^2 + (a – b + c)^2 + (b + c – a)^2 equals ____.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
x^3 -ax^2 +6x -a when divided by x-a the remainder is
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If the roots of a quadratic equation are (p/q and q/p), then the equation is _____.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
If a quadratic polynomial of the form x^2 + ax + b has no linear term and the constant term is negative, then _____.
olympiad
class9
math
polynomials
asked
Aug 26, 2015
by
pady_1
0
answers
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