Question

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

Answer 1

`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.