Question

verify if 1/2 and-3/2 are zeroes of the polynomial 8x^3-8x+9 if yes then factorise the polynomial

Answer 1

Heya !!!

P(X) => 0

8X³-8X+9 = 0

P(1/2) => 0

=> 8 × (1/2)³ - 8 × 1/2 + 9 = 0

=> 8 × 1/8 - 4 + 9 = 0

=> 1 - 4 + 9 = 0

=> 10 - 4

=> 6

Remainder isn't 0 so 1/2 is not a factor of Polynomial 8X³-8X+9

Again,

X = -3/2

P(X) => 8X³ - 8X + 9

P(-3/2) => 8 × (-3/2)³ - 8 × -3/2 + 9 = 0

=> 8 × (-27)/8 + 12 + 9 = 0

=> -27 + 12+9

=> -27 + 21

=> -6

Remainder isn't 0 in both the cases so 1/2 and -3/2 is not a factor of the polynomial 8X³-8X+9

HOPE IT WILL HELP YOU...... :-)