Find the value of 'p' if a×p=32(ap=32). Given that x+2 is a factor of

1.	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» 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

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»

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