Question

4. Write the following quadratics as products of two binomials. f(x) = 6x2 + 66x + 60

Answer 1

f(x)=(6x+6)(x+10)

Step-by-step explanation:

Given the quadratic expression:

`f\mleft(x\mright)=6x^2+66x+60`

First, we can rewrite it in the form below:

`f\mleft(x\mright)=6x^2+60x+6x+60`

Next, factor the terms:

`\begin{gathered} f(x)=6x(x+10)+6(x+10) \\ \implies f(x)=(6x+6)(x+10) \end{gathered}`

Thus, the quadratics as a product of two binomials is:

`f(x)=(6x+6)(x+10)`