Question

Polynomials ax^3 + 3x^2 - 13 and 2x^3 - 5x + a are divided by x+2 find a = r1 = r2

pls be fast​

Answer 1

p(x) = ax3 + 3x2 - 13 and q(x) = 2x3 - 5x + a

when p(x) & q(x) are divided by x + 2 = 0

⇒ x = -2

p (-2) = q(-2)

⇒ a(-2)3 + 3(-2)2 - 13 = 2 (-2)3 - 5(-2) + a

⇒ -8a + 12 - 13 = - 16 + 10 + a

⇒ -9a = - 5

⇒ a = 5/9