3 years ago

Help me solve this problem...

Mathematics

1 answer:

Mila [183]3 years ago

7 0

Answer:

x=-4

Step-by-step explanation:

Divide both sides by 1/4

$\frac{1}{4\\}$ (x+12)=2 (2 divided by 1/4 =8)

(x+12)=8

Subtract 12 from both sides

x=-4 (parenthesis disappears after 12 is subtracted)

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What is the completely factored form of f(x)=x3+5x2+4x−6?

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Synthetic division yields

-3 | 1   5   4   -6
.    |      -3 -6    6
- - - - - - - - - - - - -
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which translates to

$\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2$

with remainder 0. Now by the quadratic formula,

$x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3$

and so

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3 years ago

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Answer:

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Think of 180 divide by 3
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