Question

TWO FACTORS OF POLYNOMIAL

P( x ) = x^3 - 19x - 30 are ( x + 2 ) and ( x + 3 )

The third factor of P ( x ) is ________ ​

Answer 1

p(x) = x³ + 0x² - 19x - 30

On comparing,

a = 1 , b = 0 , c = -19 , d = -30

zeroes given: -2 and -3

let the third zero be Ɣ

We know,

==> Sum of zeroes = - b/a

==> -2 - 3 + Ɣ = 0

==> Ɣ = 5

Hence, the third factor is (x - 5)