Question

For what value of ‘a’ is 4x
4(power of x)+ 2x
3(power of x)– 3x
2power of x) + 8x + 5a exactly divisible by x + 2?

Answer 1

Answer:

a = -4

Step-by-step explanation:

p(x) = 4x⁴ + 2x³ - 3x² + 8x + 5a

g(x) = x + 2

0 = x + 2

x = -2

p(-2) = 4(-2)⁴ + 2(-2)³ - 3(-2)² + 8(-2) + 5a

    0 = 64 - 16 - 12 - 16 + 5a

    0 = 20 + 5a

  5a = -20

    a = -4