Unit 5 Test Review

Unit 5 Test Review

Classifying, Adding, Subtracting and Multiplying Polynomials

Use this review to update your notecard as needed

Classifying Polynomials

• Degree - this is the highest exponent

• Terms - how many terms (different variables or a constant) are there?

• Will be on test - table may be helpful on notecard

Multiple Choice

9x⁴

• Quadratic polynomial

• Quartic monomial

• Quadratic monomial

• Cubic monomial

Multiple Choice

v² - 3v + 4

• Quadratic, trinomial

• Quadratic, binomial

• Quartic, polynomial

• Quartic, trinomial

Adding/Subtracting Polynomials

• Distribute subtraction sign, if needed

• Combine like terms - same variable and same exponent

• Put into standard form

Subtract

• Distribute subtraction sign

• 7p² + 3p - 5p² - 4

• Combine Like Terms and put into Standard Form

• 2p² + 3p - 4

Multiple Choice

Find the sum.

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

Monomial Times Polynomial

• Distribute monomial to ALL terms.

• When multiplying with exponents - multiply coefficients, add exponents

• Combine Like Terms and put into Standard Form

Simplify

• Distribute z to the binomial

• 5z² -3z

• Bring down remaining term

• 5z²- 3z - 2z

• Combine like terms and put into standard form

• 5z² -z

Multiple Choice

Simplify the expression

-6x - 5(10x + 3)

• -56x - 15

• -56x+15

• 44x+15

• -44x-15

Multiplying Polynomials

• Expand if needed - (x-4)² is (x-4)(x-4)

• If 2 binomials - FOIL

• First, Inner, Outer, Last

• If binomial and trinomial - distribute 1st term to all terms and then 2nd term to all terms

• Combine like terms and put into standard form

Simplify

• Distribute 1st term of binomial to all terms in trinomial

• 4x³ -28x² + 4x

• Distribute 2nd term of binomial to all terms in trinomial

• -x² + 7x +1

• Combine like terms and put into standard form

• 4x³ - 29x² + 11x + 1

Multiple Choice

Multiply
(x+5)²

• x²+25
• x²-25
• x²+10x+25
• x²-10x+25

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12