Factor the following expression completely: x^2+15x+26-square

Name: Factor the Following Expression Completely: X^2+15x+26-square
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Question

Answer 1

To factor the expression

completely, we need to find two numbers that multiply to 26 and add up to 15.Let's denote these two numbers as

and

. We need:

By examining the pairs of factors of 26, we find:-

and

-

and

The pair

and

satisfies both conditions:

Thus, we can rewrite the quadratic expression as:

So, the completely factored form of the expression

is:

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