factorize the following expressions by splitting the middle term p²+2p-8
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Answer:
p(x) = ( p -2 ) ( p + 4 )
Explanation:
To factorize: p² + 2p - 8
Proof:
Let p (x) = p² + 2p - 8
⇒ p(x) = p² + 4p - 2p - 8
⇒ p(x) = p ( p + 4 ) -2 ( p + 4 )
⇒ p(x) = ( p -2 ) ( p + 4 )
Hence, p² + 2p - 8 = ( p -2 ) ( p + 4 )
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