Determine whether the binomial is a factor of f(x). f(x) = x3 + 11x2 + 24x - 36; x - 4

1 answer:

8 0

If it is, then $f(4)$ would be equal $0$ .

$f(4)=4^3+11\cdot4^2+24\cdot4-36\\
f(4)=64+11\cdot16+96-36\\
f(4)=124+176\\
f(4)=300\not =0 \Rightarrow \text{ it isn't}$

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The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.

<h3>Standard form equation of a quadratic function.</h3>

It follows from the task content that the standard form equation of the quadratic function is to.be determined.

Since the standard form equation can be derived from the vertex form equation as follows;

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Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;

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Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.