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borishaifa [10]
3 years ago
15

WILL GIVE BRAINLIEST! What polynomial has quotient x2 + 4x − 4 when divided by x + 4?

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:

Expand by multiplying x2+4x-4 by multiplying by x+4. Distribute and get x3+8x2+12x-16. You can verify it is correct by dividing by x+4 and you will arrive at x2+4x-4.

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Factor the expression completely:<br> x³ - 3x² - 4x + 12
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Over [174]

Answer:  \bold{\dfrac{4\pm \sqrt{6}}{2}}

<u>Step-by-step explanation:</u>

\dfrac{3}{y-2}-2=\dfrac{1}{y-1}\\\\\\\text{Multiply by the LCD (y-2)(y-1) to clear the denominator:}\\\\\dfrac{3}{y-2}(y-2)(y-1)-2(y-2)(y-1)=\dfrac{1}{y-1}(y-2)(y-1)\\\\\\3(y-1)-2(y-2)(y-1)=1(y-2)\\\\3y-3-2(y^2-3y+2)=y-2\\\\3y-3-2y^2+6y-4=y-2\\\\-2y^2+9y-7=y-2\\\\0=2y^2-8y+5\quad \rightarrow \quad a=2,\ b=-8,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(2)(5)}}{2(2)}\\\\\\.\ =\dfrac{8\pm \sqrt{64-40}}{2(2)}

.\ =\dfrac{8\pm \sqrt{24}}{2(2)}\\\\\\.\ =\dfrac{8\pm 2\sqrt{6}}{2(2)}\\\\\\.\ =\dfrac{4\pm \sqrt{6}}{2}

7 0
3 years ago
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Gnom [1K]

Answer:

3

Step-by-step explanation:

4.5 + 4.5 = 9

9/3 = 3

8 0
3 years ago
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