If x = is a zero of the polynomial f(x) =8x3+ax2-4x+2, find the value of a.

If x = f () = 8()3 + a ()2 - 4 () + 20 = 1 + - 2 + 2a = - 4

Q2 of 96 Page 6

If x = is a zero of the polynomial f(x) =8x³+ax²-4x+2, find the value of a.

If x =

f () = 8()³ + a ()² - 4 () + 2

0 = 1 + - 2 + 2

a = - 4

Factorize each of the following polynomials:

(i) x³+13x²+31x-45 given that x+9 is a factor

(ii) 4x³+20x²+33x+18 given that 2x+3 is a factor.

Define zero or root of a polynomial.

Write the remainder when the polynomial f(x) =x³+x²-3x+2 is divided by x+1.

Find the remainder when x³+4x²+4x-3 is divided by x.