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5. x^2+2x+1Factors:(__________________________)(_____________________)

User Bagljas
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1 Answer

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Question: what are the factors of the expression:


x^2+2x+1

Solution:

Let the expression


x^2+2x+1

If we apply the quadratic equation:


\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

we get the zero of the polynomial


f(x)=x^2+2x+1

which is -1. Thus the polynomial can be factored in the following way


x^2+2x+1\text{ = (x+1)(x+1)}=(x+1)^2

then, we can conclude that the factors of the given polynomial are:

(x+1) and (x+1)

User Satria Suria
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