List of top Mathematics Questions on Polynomials

If \(α,β,γ\) are the roots of \(4x^3-6x^2+7x+3=0\), then the value of \(αβ+βγ+γα\) is

If \(α\) and \(β\) are the zeroes of the polynomial \(f(x)=6x^2+x-2\), then the sum of zeroes is

If the zeroes of the quadratic polynomial \(ax^2+bx+c \  (c≠0)\) are equal, then

Which of the following is a polynomial?

If P(x) is a polynomial of degree 10 with leading coefficient as 11 and having (x-1), (x-2), (x-3),...(x-10) as factor, then the coefficient of x⁹ in P(x) is

The number of zeroes of the polynomial shown in the graph is

If \(\alpha,\beta\) are the zeroes of the quadratic polynomial \(ax^2 + bx+c\), \(a ≠0\) then \(\alpha^2+\beta^2=\)

Product of zeroes of polynomial \(5x^2-1\) is

Let \(α_1,α_2,….,α_7\) be the roots of the equation \(𝑥^7+3𝑥^5−13𝑥^3−15𝑥=0\) and \(|α_1|≥|α_2|≥⋯≥ |α_7|\). Then \(α_1α_2−α_3α_4+α_5α_6\) is equal to ____.

If sum and product of zero's of a Quadratic polynomial are 1, 1 respectively, then its corresponding quadratic polynomial is

The zero's of a quadratic polynomial \(4y^2+8y \) are

The degree of the polynomial (x + 1)(x² − x + x ⁴− 1) is

If the sum of the zeroes of the quadratic polynomial kx² +2x+3k is equal to the product of its zeroes, then the value of k is

Which of the following is not a polynomial?

Number of zeroes of the polynomial in the graph shown is

Any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2 is called

The zeroes of the polynomial \(x^3 – x^2\) are

The quadratic polynomial whose zeroes are α, β is

The number of zeroes, a biquadratic polynomial can have at most is

What is the degree of the polynomial \(7u^6 - \frac{3}{2}u^4 + 6u^2 - 8\) ?

Product of the polynomials \((x^3+8),(x-8)\) is denoted by \(p(x)=ax^4+bx^3+cx^2+dx+e\) then \(p(8)=\)

If a polynomial of degree 7 is divided by a polynomial of degree 4, then the degree of the quotient is

If a, B are the zeros of the quadratic polynomial x²+x+1, then \(\frac{1}{α}+\frac{1}{β}\) is

Which of the following is a factor of the polynomial x³+x²-17x+15?

If -1,-2 are two zeros of a polynomial \(2x^3+ax^2+ bx-2\). then \((a, b) =\)