if x^3-8x+15=(x+p)(x+q)then what is the value of p and q
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Given x4+px3+2x2−3x+q is divisible by x2−1
x2+px+3
_____________
x2−1)x4+px3+2x2−3x+q
x4 −x2
_____________________
px3+3x2−3x
px3 −px
_______________________
3x2+(p−3)x+q
3x2−3
_____________________
(p−3)x+(q+3)
If above expression is completely divisible then remainder should be zero.
then p−3=0
q+3=0
∴[p−3] & [q=−3].

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