If one zero of the polynomial x² ‒ 4x + 1 is (2 + √3), write the other zero.

Find the zeros of the polynomial x² + x ‒ p (p + 1).

Find the zeros of the polynomial x² – 3x – m (m + 3).

Find α, β are the zeros of a polynomial such that α + β= 6 and αβ = 4 then write the polynomial.

If one zeros of the quadratic polynomial kx² + 3x + k is 2 then find the value of k.

If 3 is a zero of the polynomial 2s₂ + x + k, find the value of k.

If ‒4 is a zero of the polynomial x² ‒ x (2k + 2) then find the value of k.

If 1 is a zero of the polynomial ax² ‒ 3 (a ‒ 1) x ‒ 1 then find the value of a.

If ‒2 is a zero of the polynomial 3x² + 4x + 2k then find the value of k.

Write the zeros of the polynomial x² ‒ x ‒ 6.

If the sum of the zeros of the quadratic polynomial kx² ‒ 3x + 5 is 1, write the value of k.

If the product of the zeros of the quadratic polynomial x² ‒ 4x + k is 3 then write the value of k.

If (x + a) is a factor of (2x₂ + 2ax + 5x + 10), find the value of a.

If (a ‒ b), a and (a + b) are zeros of the polynomial 2x³ ‒ 6x² + 5x – 7, write the value of a.

If x³ + x² ‒ ax + b is divisible by (x² ‒ x), write the values of a and b.

If α and β are the zeros of the polynomial 2x² + 7x + 5, write the value of α + β + αβ.

State division algorithm for polynomials.

The sum of the zeros and the product of zeros of a quadratic polynomial are -1/2 and ‒3 respectively. Write the polynomial.

Write the zeros of the quadratic polynomial f(X) = 6x² ‒ 3.

Write the zeros of the quadratic polynomial f(x) = 4√3x² + 5x ‒ 2√3.

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

If α and β are the zeros of the polynomial f(x) = 6x² + x ‒ 2, find the value of

If α and β are the zeros of the polynomial f(x) = 5x² ‒ 7x + 1, find the value of

If α and β are the zeros of the polynomial f(x) = x² + x – 2, find the value of

If the zeros of the polynomial f(x) = x³ – 3x² + x + 1 are (a – b), a and (A + b), find the a and b.