# How do you factor #2x^2 + 14x - 16#?

You will find these two numbers are +8 and -1.

Finally, Multiply the 2 back into one of the brackets.

Hope that helps

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To factor 2x^2 + 14x - 16, first, find the factors of 2 * -16, which equal -32. Then, find two numbers that multiply to -32 and add up to 14. These numbers are 16 and -2. So, rewrite the expression as 2x^2 + 16x - 2x - 16. Factor by grouping: 2x(x + 8) - 2(x + 8). Finally, factor out the common factor of (x + 8), resulting in (2x - 2)(x + 8).

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To factor (2x^2 + 14x - 16), first factor out the greatest common factor, which is (2). Then, factor the quadratic expression inside the parentheses.

[2(x^2 + 7x - 8)]

Next, find two numbers that multiply to ( -8 ) and add up to ( 7 ). These numbers are (8) and (-1).

[2(x^2 + 8x - 1x - 8)]

Now, group the terms:

[2((x^2 + 8x) + (-1x - 8))]

Factor by grouping:

[2(x(x + 8) - 1(x + 8))]

Factor out the common factor:

[2(x + 8)(x - 1)]

Therefore, (2x^2 + 14x - 16) factors as (2(x + 8)(x - 1)).

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