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Factor each polynomial over the set of real numbers use the factors to sketch the polynomial

Factor each polynomial over the set of real numbers use the factors to sketch the-example-1
User Pintu
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1 Answer

4 votes

ANSWER


f(x)=(5x+4)(5x-6)

Step-by-step explanation

We want to factor the polynomial:


f(x)=25x^2-10x-24

To do this, we have to find two numbers whose product is -120 (25 times -24) and sum up to -10.

Therefore, we have:


f(x)=25x^2-30x+20x-24

Now, factor the polynomial:


\begin{gathered} f(x)=5x(5x-6)+4(5x-6) \\ f(x)=(5x+4)(5x-6) \end{gathered}

That is the factored polynomial.

User Thomas Aylott
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