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3 years ago

Use the remainder theorem and the factor theorem to determine whether (b + 4) is a factor of (b3 + 3b2 − b + 12).

1 answer:

8 0

Use synthetic division. Look at my attachment below for a detailed explanation. If the remainder is 0 (which it is), then it's a factor.

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Write an equivalent expression using distributive property and simplify for each question

Lana71 [14]

Answer:

Check explanations

Step-by-step explanation:

For all real numbers a,b, and c, the distributive property states that:

$a(b + c) = ab + ac$

For Part A, we have

$2x + 10x = x(2 + 10) = x(12) = 12x$

$2x + 10x = 2x(1 + 5) = 2x(6) = 12x$

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-12x-30x+40+10

-4(3x-10)+5(2-6x)=-42x+50

For the C part, we have:

$2(x - 4) + x = 2 \times x - 2 \times 4 + x$

$2(x - 4) + x = 2x - 8+ x$

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

For Part D, we have:

$-3-7(3-4x)+8x = - 3 - 7 \times 3 - 7 \times - 4x + 8x$

We simplify to get:

$-3-7(3-4x)+8x = - 24+28x + 8x$

Simplify further to get:

$-3-7(3-4x)+8x =-24+36x$

4 0

3 years ago

I need help with 38,39 and 40 please!

kodGreya [7K]

Answer:

It's 37. B 38. B 39. C 40. A

Step-by-step explanation:

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3 years ago

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Carl and Nicole are raising money to purchase basketballs for their school's team. The more money they raise, the more basketbal

nata0808 [166]

Answer:

The amount of money raised

Step-by-step explanation:

The amount of basket balls depends on the money rasied and is therefore dependant, that leaves the money, which is completely independent.

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3 years ago

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Anne has 24 pencils in a box.eighteen has #2 marked on them and the 6 are marked #3.what is fraction of pencils are marked 3

Arada [10]

1/4 because 6/24 can be simplified all the way down to 1/4

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2 years ago

Find the measure of

Furkat [3]

Measure = 1/2 (120-30)
1/2(90)
45

Answer = 45°

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3 years ago