If a polynomial p(x) has p(-2)=0, then which of the following can you conclude? p(x) has a factor (x+2) p(x) has a constant term of -2 p(x) has an x-intercept of -2 both p(x) has a factor (x+2) and p(x) has an x-intercept of -2

Both P(x) has a factor (x+2) and P(x) has an x-intercept of -2

Explanation: if a polynomial has a factor (x-a) it means its form can be written as:

(x-a)*(rest of polynomial)=0

and thus "a" is a root because the entire expression becomes 0 when x=a. In this case a=-2

An x-intercept is a point on the curve intersecting the x axis with coordinates (a, 0) where a is one of the roots. As shown above x=-2 will make the expression 0, so y=0 for x=-2. In other words there is a point (-2,0), which means -2 is the x-intercept.

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step-by-step explanation:

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