Polynomials Review

Polynomials Review

Let us review what we have covered.

Terms and Expressions

Multiple Choice

Put in Standard Form.
12 - 3x³ - 10x - x²

•  - 3x³ - x² - 10x + 12
•  3x³ - x² + 10x + 12
• 12 - 3x³ - 10x - x²
  It is in Standard Form.
• 12 - 10x - 3x³ - x²

Multiple Choice

Which one is written in Standard form

• 4 + 5b³
• 4n³ - n + 6n²
• 2a² + 9
• 2h⁵ - 5h³ - 8 + 3h

Multiple Choice

Classify by number of terms:
12

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Multiple Choice

Classify by number of terms:
3x² – 8x + 1

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Like Terms

Multiple Choice

Combine like terms
3x + 2x + 3y - 7y

• 5x + 10y
• 5x + 4y
• 5x - 4y
• 5x -10y

Multiple Choice

Which pair is an example of like terms?

• 2a and 2b
• x and x²
• 3k and 3k³
• y² and 2y²

Multiple Choice

What are like terms?
Terms that have....

• the same variables
• the same exponents
• the same coefficients
• the same variables and exponents

Multiple Choice

How many terms are in this polynomial?

2x³ - 8x² + 3x - 7

• 7

• 1

• 4

• 2

Degrees and Naming polynomials

Multiple Choice

Classify this polynomial by its degree and number of terms:  x² + 2x³ + 6

• Cubic polynomial
• Quadratic binomial
• Quadratic trinomial
• Cubic trinomial

Multiple Choice

What is the degree of the monomial?

• 2
• 4
• 6
• 7

Multiple Choice

What is the degree of the polynomial?

• 6
• 7
• 4
• 5

Multiple Choice

Classify by the DEGREE:
3x - 2

• 1
• 2
• 3
• 4

Adding Polynomials

Multiple Choice

Add the following polynomials

(x³-6x²+3)+(3x³+4x-1)

• 4x³-2x²+2

• 4x³-6x²+4x+2

• -2x³+2x+2

• 4x³-2x²-2

• None of these

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

• None of these

Multiple Choice

Add the polynomial (-3x + 4) + (8x - 5)

• 5x - 9

• 5x - 1

• 11x - 1

• 11x - 9

• None of these

Subtracting Polynomials

Multiple Choice

Add or Subtract to Simplify:
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 4
• b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 7

Multiple Choice

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

Multiple Choice

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

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

Multiple Choice

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Multiplying Polynomials

Multiple Choice

4a(5a² - a + 4)

• 20a³ - 4a² + 16a
• 20a² - 5a + 8a
• 20a² + 4a² + 16a
• 20a³ +3a² + 16a

Multiple Choice

5xy(6x-y)

• 11x² - y²
• 30x² + y²
• 30x²y - 5xy²
• 11x²y + 5x²y²

Multiple Choice

Simplify:
2x ( -2x -3)

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

Multiple Choice

Simplify:
5(3x+2)

• 3x+10
• 15x+10
• 15x-10
• 3x-10

Distributive Process

It is like sharing, but that it increases value.

Multiple Choice

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y
• 12y³ + 14y² + 21y

Multiple Choice

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x
• 6x³ + 18x² + 9

Multiple Choice

5x(4x³ + 8)

• 9x⁴ + 40x
• 20x⁴ + 40x

Dividing by Monomials

Multiple Choice

• -5x¹⁰
• 4x⁴ + 18x⁶
• -6x⁴ + 16x²
• 4x⁴ - 9x²

Multiple Choice

Divide the polynomial by the monomial.

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

Multiple Choice

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x
• 2x⁸-2x²-7x
• 8x⁷-8x-28x
• 2x⁷ -2x -7

Other things to consider?

• How to calculate Perimeter and Area of Polygons and Triangles

• There will be word problems where you will have to decipher what is being asked of you

• Every concept, aside from fractions can be applied to polynomials ie. Integers

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