Question

If x-1 is the factor of 4x⁴+2x³-3x²+8x+5a find a

Answer 1

Answer:

a = -11/5

Step-by-step explanation:

Here, x-1 is factor of polynomial.

So, x-1 = 0

=> x = 1 which is root of polynomial.

=> 4x⁴+2x³-3x²+8x+5a = 0

=> 4×1 ^4 + 2×1^3 - 3×1^2 + 8 + 5a = 0

=> 4 + 2 - 3 + 8 + 5a = 0

=> 5a = -11

=> a = -11/5