Question

Determine a, when polynomial 4 x⁴ - a x³ + 2 x² + 4x + 3 is divisible by ( 1 - 2x )​

Answer 1

Answer:

a = -5

Step-by-step explanation:

1-2x can be written as -2x+1

By remainder theorem we get

p(-1) = 4x⁴ - ax³ + 2x² + 4x + 3 = 0

p(-1) = 4 + a + 2 - 4 + 3

p (-1) = 5+a = 0

a = -5

5+(-5) = 0