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

Q10 of 113 Page 61

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

We have,

f (x) = x² – x – 6

= x² – 3x + 2x – 6

= x (x – 3) + 2 (x – 3)

= (x – 3) (x + 2)

f (x) = 0

(x – 3) (x – 2) = 0

(x – 3) = 0 or (x – 2) = 0

x = 3 or x = 2

∴ The zeros of the given polynomial are 3 and – 2

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.

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.