Question

Find the value of 'p' if a×p=32(ap=32). Given that x+2 is a factor of polynomial 4x⁴+2x³-3x²+8x+5a.

Answer 1

Answer:

-8

Step-by-step explanation:

here x+2 is a factor of polynomial 4x⁴+2x³-3x²+8x+5a

so x+2=0

x= -2 ,

p(-2) = 4(-2)⁴+2(-2)³-3(-2)²+8(-2)+5a. [ also p(-2)=0]

= 64-16-12-16+5a

= 64-44+5a

= 20+5a= 0

5a=-20

a= -20/5 = -4

a×p= 32

-4×p= 32

so p= 32/-4 =-8