AnswersAlgebra III ASimplifying Polynomial Expressions

Simplifying Polynomial Expressions Answers

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What is the first step in simplifying3 – b(7b + 2) + 3b – (11 – b)?

A
Combine all like terms.
B
Simplify inside the parentheses.
C
Distribute the –b and –1 to the terms in the parentheses.
D
Subtract 3 – b.
2
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Simplify –x(6x5)2(–2y6)(y).

A
–72x11y7
B
72x11y7
C
–12x11y7
D
12x11y7
6

Simplify 7x + (x – 4)(x + 5) – 5x.

A
x2 + x – 20
B
x2 + 3x – 20
C
x2 - 3x – 20
D
x2 – x – 20
8

Simplify the expression.

Answers:
Selection 1:Find the quotient.
Selection 2:Subtract the result from 1.
Selection 3:Multiply the result by –2.
The expression simplifies to – 3:Add the result to 4 + x2.
12

Which sentence best describes Marc’s error?

A
He divided incorrectly.
B
He did not work from the inside out.
C
He combined terms that were unlike.
D
He did not distribute the negative sign.
15

Step 2: Multiply the result by –2.Subtract the result from 1.Add the result to 4 + x2. Find the quotient.

A
Multiply the result by –2.
B
Subtract the result from 1.
C
Add the result to 4 + x2.
D
Find the quotient.
17

Step 3: Multiply the result by –2.Subtract the result from 1.Add the result to 4 + x2. Find the quotient.

A
Multiply the result by –2.
B
Subtract the result from 1.
C
Add the result to 4 + x2.
D
Find the quotient.

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