find the value of P which the polynomial y^3+4y^2-py+8 is exactly divisible by y-2
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Answer:
we can find this by factor theorem,
Step-by-step explanation:
let,p(y)=y³+4y²-py+8.
g(y)=y-2
=>y-2=0
=>y=2
By putting the value of y we get
- (2)³+4(2)²-p(2)+8=0
- 8+16-2p+8=0
- 32-2p=0
- -2p=-32
- p=32÷2
- p=16
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