Zeros of p(x) = x² – 2x – 3 are

If α, β, γ are the zeros of the polynomial x³ – 6x² – x + 30 then the value of (αβ + βγ + γ α) is

If α, β are the zeros of kx² – 2x + 3k such that α + β = αβ then k = ?

If is given that the difference between the zeros of 4x² – 8kx + 9 is 4 and k > 0. Then k = ?

Find the zeros of the polynomial x² + 2x – 195.

If one zero of the polynomial (a² + 9) x² + 13x + 6a is the reciprocal of the other, find the value of a.

Find a quadratic polynomial whose zeros are 2 and ‒5.

If the zeros of the polynomial x³ – 3x² + x + 1 are (a ‒ b), a and (a + b), find the values of a and b

Verify that 2 is a zero of the polynomial x³ + 4x²– 3x – 18.

Find the quadratic polynomial, the sum of whose zeros is ‒5 and their products is 6.

Find a cubic polynomial whose zeros are 3, 5 and ‒2.

Using remainder theorem, find the remainder when p(x) = x³ + 3x² – 5x + 4 is divided by (x ‒ 2).

Show that (x + 2) is a factor of f(x) = x³ + 4x² + x – 6.

If α, β, γ are the zeros of the polynomial p(x) = 6x³ + 3x² – 5x + 1, find the value of .

If α, β are the zeros of the polynomial f(x) = x² – 5x + k such that α ‒ β = 1, find the value of k.

Show that the polynomial f(x) = x⁴ + 4x² + 6 has no zero.

If one zero of the polynomial p(x) = x³ – 6x² + 11x – 6 is 3, find the other two zeros.

If two zeros of the polynomial p(x) = 2x⁴ – 3x³ – 3x² + 6x – 2 are √2 and – √2, find its other two zeros.

Find the quotient when p(X) = 3x⁴ + 5x³ – 7x² + 2x + 2 is divided by (x² + 3x + 1)

Use remainder theorem to find the value of k, it being given that when x³ + 2x² + kx + 3 is divided by (x – 3), then the remainder is 21.