EASY
10th CBSE
IMPORTANT
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If (α-β), α, (α+β) are zeroes of the polynomial p(x)=2x3-16x2+15x-2, value of α is

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Important Questions on Polynomials

EASY
10th CBSE
IMPORTANT
Number of quadratic polynomials having -2 and -5 as their two zeroes is 
MEDIUM
10th CBSE
IMPORTANT
If α, β, γ are zeroes of the polynomial p(x) such that α+β+γ=3, αβ+βγ+γα=5, αβγ=-6, then p(x) is
EASY
10th CBSE
IMPORTANT

Which of the following is not a graph of a quadratic polynomial?

EASY
10th CBSE
IMPORTANT
If one zero of the quadratic polynomial 39y2-(2k+1)y-22 is negative of the other, then the value of k is
MEDIUM
10th CBSE
IMPORTANT

If α and β are zeroes of a quadratic polynomial such that α+β=12 and α-β=6. Then, the family of quadratic polynomials having α. β as its zeroes is given by

“Note: The option(d) of the question given in the book seems to have errors and the modified option(d) should be as given below.”

EASY
10th CBSE
IMPORTANT
If α, β, γ are the zeroes of the polynomial p(x)=x3+6x2+cx+d, such that α+β=2, then the value of γ is
EASY
10th CBSE
IMPORTANT
If the zeroes of the quadratic polynomial x2+(a+1)x+b are 2 and -3, then
EASY
10th CBSE
IMPORTANT
When x4+x3-2x2+x+1 is divided by x-1, then the remainder is