Solve correctly and With STEPS to be marked as brainliest

1.	Solve correctly and With STEPS to be marked as brainliest
Answer» Answer: let p(X)=2x³-ax²-8x+B if 2x-1 is a FACTOR of p (x) x=1/2 p(1/2)=2(1/2)³-a(1/2)²-8(1/2)+b =2/8-a/2-8/2+b =2/8-a/2-4+b =1/4-a/2-4+b =1-16/4-a/2+b =15/4-a/2+b p(1/2)=0 15/4-a/2+b=0 -a/2=-15/4-b -a/2=-(15/4+b) a=2(15/4+b) a=30/4+2b a=15/2+2b say 1 if x+2 is factor p(-2)=2-2³-a-2²+16+b =-16-4a+16+b =-4a+b p(-2)=0 -4a+b=0 b=4a say 2 putting value of a in 2 b=4(15/2+2b) b=30+8b 8b-b=-30 7b=-30 b=-30/7 putting value of b in 1 15/2+2-30/7 =15/2-60/7 =105-60/7 =45/7 hope this HELPS you

Answer»

Answer:

let p(X)=2x³-ax²-8x+B

if 2x-1 is a FACTOR of p (x)

x=1/2

p(1/2)=2(1/2)³-a(1/2)²-8(1/2)+b

=2/8-a/2-8/2+b

=2/8-a/2-4+b

=1/4-a/2-4+b

=1-16/4-a/2+b

=15/4-a/2+b

p(1/2)=0

15/4-a/2+b=0

-a/2=-15/4-b

-a/2=-(15/4+b)

a=2(15/4+b)

a=30/4+2b

a=15/2+2b say 1

if x+2 is factor

p(-2)=2*-2³-a-2²+16+b

=-16-4a+16+b

=-4a+b

p(-2)=0

-4a+b=0

b=4a say 2

putting value of a in 2

b=4(15/2+2b)

b=30+8b

8b-b=-30

7b=-30

b=-30/7

putting value of b in 1

15/2+2*-30/7

=15/2-60/7

=105-60/7

=45/7

hope this HELPS you