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3 years ago

What is the binomials is a factor of the trinomials x^2+13x+40?

Mathematics

1 answer:

alexira [117]3 years ago

3 0

The correct answer is: [B]: " (x + 5) " .

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Explanation:

To solve:

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Given:

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" x² + 13x + 40 " ; factor into "two terms" ;

→ that is; "factor into 2 (two) binomial expressions" .

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What 2 (two) factors of: "+ 40" add up to " + 13 " ? ;

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+ 40, + 1 ?? ; → +40 + (+1) = +41 ; → + 41 ≠ + 13 ;

- 40 + (-1) ?? ; → - 40 + (-1) = - 40 - 1 = - 41 ; → - 41 ≠ +13 ;

+8, + 5 ?? ; → + 8 + 5 = + 13 ; → + 13 = + 13 . Yes!

So; the factors of: " x² + 13x + 40 " ;

are: " (x + 5) (x + 8) " .

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Among this 2 (two) binomial factors: "(x + 5)" AND: "(x + 8)" ;

one of these: " (x + 5) " — appears among the answer choices provided;

→ which is: [B]: " (x + 5) " .

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The correct answer is: [B]: " (x + 5) " .

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Hope this helps!

Best wishes in your academic endeavors — and

within the "Brainly" community!

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