Question

If x=2 and x=0 are the zeros of the polynomial 2x3-5x2+px+b. Then find the value of p and b

Answer 1

if x=2 if x=0
2 (2)3-5 (2)2+p (2)+b=0 2(0)3-5 (0)2+p (0)+b=0
12-20+2p+b=0 0-0+0+b
2p+b-8=0 b=0
2p+b=8
subtract b=0 from 2p+b=8
2p+b-b=8-0
2p=8
p=4
2p+b=8
2 (4)+b=8
b+8=8
b=0
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