Question

-2x²+8x+24

i need to factor this polynomial ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

As, we can see the factor of 2 is in each term. Taking out 2 common

$2( - {x}^{2} + 4x + 12)$

Now, by Using Middle Term Splitting.

Find 2 Numbers whose sum is the middle term and those two numbers will give us the multiplication of first and last term.

$6 + ( - 2) = 4 \\ (6)( - 2) = -12$

Hence,

$2( - {x}^{2} + 6x - 2x + 12) \\ = 2( - x(x - 6) - 2(x - 6)) \\ = 2(x - 6)( - x - 2) \\ = - 2(x + 2)(x - 6)$

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