The factors of the quadratic polynomial p(x) | vedclass

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(C) To factorize the quadratic polynomial $p(x) = x^2 + 4x - 5$,we need to find two numbers whose product is $-5$ and whose sum is $4$.These two numbe

Vedclass · Accepted Answer

$(x + 5)(x - 1)$

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(C) To factorize the quadratic polynomial $p(x) = x^2 + 4x - 5$,we need to find two numbers whose product is $-5$ and whose sum is $4$.These two numbers are $5$ and $-1$,because $5 	imes (-1) = -5$ and $5 + (-1) = 4$.Now,rewrite the middle term $4x$ as $5x - x$:$p(x) = x^2 + 5x - x - 5$Group the terms:$p(x) = (x^2 + 5x) - (x + 5)$Factor out the common terms:$p(x) = x(x + 5) - 1(x + 5)$Finally,factor out $(x + 5)$:$p(x) = (x + 5)(x - 1)$.

The factors of the quadratic polynomial $p(x) = x^2 + 4x - 5$ are . . . . . . .

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