Algebra Polynomial

Algebra 1 Polynomials Review

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Multiple Choice

______________________________ arranges the terms by degree in descending numerical order.

• degree of polynomial
• polynomial 
• terms
• standard form of polynomial

Multiple Choice

Is this expression in Standard Form?
6w² - 9w³

• Yes
• No
• Not sure
• Cubic

Multiple Choice

Write the polynomial in standard form. Then, name the polynomial based on its number of terms.

• A
• B
• C
• D

Multiple Choice

Classify

• Quadratic, Monomial
• Quadratic, Binomial
• Linear, Trinomial
• Cubic, Polynomial

Multiple Choice

Classify, and state the degree of the Polynomial

• Monomial, 12
• Binomial, 6
• Trinomial, 6
• Polynomial, 8

Multiple Choice

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Multiple Choice

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiple Choice

Simplify:
2x ( -2x -3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Multiple Choice

Simplify the expression
-6x - 5(10x + 3)

• -56x - 15
• -56x+15
• 44x+15
• -44x-15

Multiple Choice

2x + 4

• 2(x + 2)

• 2(x + 4)

• 4(x + 4)

• 4(x + 2)

Multiple Choice

10x³ + 30x² + 20xy

• 5x(2x² + 6x + 4y)

• 10x(x² + 3x + 2y)

• 10x(x² + 3x + 2)

• 5x(2x² + 6x + 4)

Multiple Choice

3x²y² + 14x²y + 15x

• y(3x²y + 14x² + 15x)

• xy(3xy + 14x + 15)

• x²(3y² + 14y + 15)

• x(3xy² + 14xy + 15)

Multiple Choice

6x²y - 18xy²

• 6(x - 3y)

• 6xy(x - 3y)

• 6xy²(x - 3)

• 6x²y(3y - 1)

Multiple Choice

Factor completely.

y² - 196

• ( y - 14 ) ( y - 14 )

• ( y + 14 ) ( y - 14 )

• ( y + 13 ) ( y - 13 )

• ( y - 13 ) ²

Multiple Choice

Factor completely.

49x² + 16

• ( 7x + 4 ) ( 7x - 4 )

• ( 7x + 4 ) ( 7x + 4 )

• ( 7x - 4 ) ²

• does not factor (SUM of squares)

Multiple Choice

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Multiple Choice

Factor completely.

x⁴ - 1

• ( x² + 1 ) ( x² - 1 )

• ( x + 1 ) ( x + 1 ) ( x + 1 ) ( x - 1 )

• ( x² - 1 ) ²

• ( x² + 1 ) ( x + 1 ) ( x - 1 )

Multiple Choice

Simplify
     15x²/5x³

• 3x
• 3/x
• x/3
• 5/x

Multiple Choice

Simplify

Hint:(bottom is dif of square)

• (x-9)/(x+9)

• 1/(x-9)

• (x+9)

• 1/(x+9)

Multiple Choice

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Multiple Choice

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)