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3 years ago

Help plsss thank youuuu

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

A. (x+5)

Step-by-step explanation:

We are given a quadratic expression $x^2+8x+15$ which we will factorize to see which of the given options is a binomial factor of it.

$x^2+8x+15$

Finding the factors of 15 such that when added, they give a result of 8.

$x^2+3x+5x+15\\\\x(x+3)+5(x+3)\\\\(x+3)(x+5)$

Therefore, we can see that $(x+5)$ is that binomial factor that is present in the given options so option A. (x+5) is the correct answer.

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Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, $|x|=x$ if $x\ge0$ , and $|x|=-x$ if $x$ .

For example,

|2| = 2 because the input 2 is positive, so the input is unchanged;
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What this means for this problem is that there are two cases to consider:

If $x+\frac13\ge0$ , then $\left|x+\frac13\right|=x+\frac13$ , so that

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