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3 years ago

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?

2 answers:

7 0

To factor by grouping, you group up the 1st 2 terms together and the last 2 terms together and then factor those pieces.

(x^3 + x^2) + (x + 1)
x^2(x + 1) + 1(x +1) - now factor out the (x + 1)
(x + 1)(x^2 + 1) - final answer

Lisa [10]3 years ago

3 0

Answer: answer is C.

Step-by-step explanation:

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<h2>Answers:</h2>

Solving for x on the question - 2x + 3y = 32 |

Answer : x = $\frac{-3}{2}$ ⁻y + 16

Solving for y on the question - 2x + 3y = 32 |

Answer : y = $\frac{-2}{3}$ x + $\frac{32}{3}$

Solving for x on question - 5x - 4y = -81 |

Answer : x = $\frac{4}{5}$ y + $\frac{-81}{5}$

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<h2>Step-by-step explanation:</h2>

(Solving for x on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

$\frac{2x}{2}$ = $\frac{-3y+32}{2}$

x = $\frac{-3}{2}$ ⁻y + 16

(Solving for y on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

$\frac{3y}{3}$ = $\frac{-2x+32}{3}$

y = $\frac{-2}{3}$ x + $\frac{32}{3}$

(Solving for x on question - 5x - 4y = -81)

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

$\frac{5x}{5}$ = $\frac{4y-81}{5}$

x = $\frac{4}{5}$ y + $\frac{-81}{5}$

(Solving for y on question - 5x - 4y = -81 )

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

$\frac{-4y}{-4}$ = $\frac{-5x-81}{-4}$

y = $\frac{-5}{4}$ x + $\frac{81}{4}$

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