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

If \(\alpha\) and \(\beta\) are the roots of ax² - bx + c = 0 \(\left( a\neq 0 \right) \), then calculate \(\alpha+\beta\).

If sum of the zeroes of the quadatic polynomial 3x² - kx + 6 is 3, then find the value of k.

If - 1 is a zero of the polynomial f(x) = x² - 7x - 8, then calculate the other zero.

For a quadratic polynomial, whose one zero is 8 and the product of zeroes is -56.

If p,q are zeroes of polynomial f(x) = 2x² - 7x + 3, find the value of p² + q².

If one zero of the polynomial 2x² + 3x + \(\lambda \) is \(\frac{1}{2}\), find the value of \(\lambda \) and other zero.

If \(\alpha\) and \(\beta\) are zeroes of the polynomial f(x) = x² - x - k, such that \(\alpha-\beta=9\), find k.

If the zeroes of the polynomial x² + px + q are double in value to the zeroes of 2x² - 5x - 3, find the value of p and q.

Find the value for k for which x⁴ + 10x³ + 25x² + 15x + k is exactly divisible by x + 7.

If (x)=ax+b, then find the zero of f (x).

Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2, respectively.

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and their coefficients. \(q(x)=\sqrt { 3x^{ 2 } } +10x+7\sqrt { 3 } \)

Find the zeroes of the polynomial x²-3 and verify the relationship between the zeroes and the coefficients.

Find all the zeroes of 2x⁴-3x³-3x²+6x-2, if you know that two of its zeroes are \(\sqrt { 2 } \) and \(-\sqrt { 2 } \) .

Obtain all other zeroes of 3x⁴+6x³-2x²-10x-5,if two of its zeroes are \(\sqrt { \frac { 5 }{ 3 } } \)and\(-\sqrt { \frac { 5 }{ 3 } } \) .

For what value of k, 3 is a zero of the polynomial 2x²+x+k?

If zeroes α and β of a polynomial x²-7x+k are such that α-β=1, then find the value of k.

If the sum and difference of zeroes of quadratic polynomial are -3 and -10. respectively. Then, find the difference of the squares of zeroes.

Divide the polynomial x³-6x²+11x-6 by the polynomial x²+x+1 and find the quotient and remainder.