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shepuryov [24]
2 years ago
11

Help is it A or B? pls help

Mathematics
1 answer:
Damm [24]2 years ago
5 0

Answer:

f(x)=-(x+8)(x-2)

Step-by-step explanation:

Start by factoring out a -1...

f(x)=-(x^2+6x-16)

Now, we have to find two integers that multiply to get -16 and have a sum of 6:

(-2)*8=-16

-2+8=8-2=6

Using this, we can split 6x into -2x and 8x...

f(x)=-(x^2-2x+8x+16)

Factor  the first and second half separately...

f(x)=-[(x^2-2x)+(8x-16)]\\f(x)=-[x(x-2)+8(x-2)]\\

Since both x and 8 are being multiplied by x-2, we can combine them to get...

f(x)=-(x+8)(x-2)

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