Question

which is the completely factored form of 3x2 – 12x – 15?3(x 1)(x – 5)3(x – 1)(x 5)(3x 1)(x – 15)(3x – 1)(x 15)?????

Answer 1

Answer: 3(x+1)(x-5)

or option A

Step-by-step explanation:

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Answer 2

Using middle term splitting, the completely factored form of $3x^{2} -12x - 15$ is  $3(x-5)(x+1)$.

What is middle term splitting?

To factorize the form :ax2 + bx + c.

1) Find the product of 1st and last term( a x c).

2) Find the factors of ac in such way that addition or subtraction of that factors is the middle term b.

3) Write the center term using the sum of the two new factors, including the proper signs.

4) Group the terms to form pairs - the first two terms and the last two terms. Factor each pair by finding common factors.

5) Factor out the shared (common) binomial parenthesis.

$= 3x^{2} -12x-15\\\\= 3x^{2} + 3x - 15x - 15\\\\= 3x(x+1) - 15(x+1)\\\\=(3x-15)(x+1)\\\\=3(x-5)(x+1)$

Learn more about middle term splitting here

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