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

Sagot :

Answer:

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

Explanation:

Given the quadratic expression:

[tex]f\mleft(x\mright)=6x^2+66x+60[/tex]

First, we can rewrite it in the form below:

[tex]f\mleft(x\mright)=6x^2+60x+6x+60[/tex]

Next, factor the terms:

[tex]\begin{gathered} f(x)=6x(x+10)+6(x+10) \\ \implies f(x)=(6x+6)(x+10) \end{gathered}[/tex]

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

[tex]f(x)=(6x+6)(x+10)[/tex]