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3 years ago

Use polynomial long division to divide 2x2 + 3x −1 by x + 4. What are the quotient and remainder?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

Step-by-step explanation:

2x - 5

x+4 / 2x^2 + 3x - 1

- 2x^2 + 8x

0 -5x - 1

- -5x - 20

0 19

Quotient = 2x - 5 + 19/x+4

Remainder = 19/x+4

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Anastaziya [24]

Answer:

See below

Step-by-step explanation:

$2e)15-4x=10x+45$

Solve:

$15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}$ $3(x+1)=21$

Check:

$15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45$

$15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45$

$\dfrac{210}{7} =30$

$30=30$

$3a) 3(x+1)=21$

Solve:

$3(x+1)=21\\3x+3=21\\3x=18\\x=6$

$3b) 2+3(x+1)=6x$

$2+3x+3=6x\\5=3x\\$

$x=\dfrac{5}{3}$

$3c) -2(2x-3)=-2$

Solve:

$-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2$

3 0

3 years ago

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Akimi4 [234]

Answer:

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