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lara31 [8.8K]
3 years ago
11

If one factor of x2+2x-24 is (x+6), what is the other factor

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Answer:

<h2>(x-4)</h2>

Step-by-step explanation:

Step 1 : Write +2x as a difference

= x^2-4x+6x-24

Step 2: Factorize out common terms

= x(x-4)+6(x-4)

Factorize out (x-4)

(x-4)(x+6)

x^{2} +2x-24\\Write+2x -as-a-difference\\x^{2} -4x+6x-24\\Factor out common terms\\x(x-4)+6(x-4)\\Factor out (x+4)\\(x-4)(x+6)

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Answer:

A

Step-by-step explanation:

We take a look at this expression: 49x^2-9 and notice that both terms are square numbers. 49x^2=(7x)^2 and 9=3^2.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares a^2-b^2, it can always be factored into (a+b)(a-b).

Here, we can apply that. In this case, a = 7x and b = 3. So:

49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)

Thus, the answer is A.

Hope this helps!

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