Factors, Zeros and More of Polynomials

Name of polynomial with 3 terms

• monomial

• binomial

• trinomial

• polynomial

Answer explanation

Tri is the prefix for 3

• 5

• 3

• 7

Answer explanation

Your degree is your highest power

A polynomial with more than 4 terms is called a polynomial.

• True

• False

Answer explanation

Mono - 1 term

bi - 2 terms

tri - 3 terms

poly - anything more than 3

Classify the following polynomial

• quartic polynomial
• quadratic polynomial
• quartic trinomial
• quadratic trinomial

Answer explanation

Degree of 2 - quadratic

3 terms - trinomial

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

Answer explanation

Degree of 3 - cubic

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• -2x⁵ + 3x - 1
• 5x^-2 +3x - 1
• -2x⁵ + 3x⁴ + 2x³ + x² - 10
• 2x + 5

Factor: 3x²-14x-5

• (3x+1)(x-5)
• (3x+1)(x+5)
• (3x-1)(x+5)
• (3x-1)(x-5)

Answer explanation

Slide and Divide

Factor: 8x³+27

• (2x+3)(4x²-6x+9)
• (2x+3)(4x²+6x+9)
• (2x-3)(4x²-6x+9)
• (2x-3)(4x²+6x+9)

Factor COMPLETELY: x⁴-5x²-36

• (x+3)(x-3)(x²+4)

• (x²-9)(x²-4)
• (x²+9)(x²+4)
• (x²+9)(x-2)(x+2)

Answer explanation

Look for Differences of Squares!

Factor: 16x⁴-81

• (4x²+9)(2x-3)(2x+3))

• (4x²-9)(4x²-9)(4x²+9)

• (4x²+9)(4x²+9)
• (4x+9)(4x-9)

Answer explanation

Double Difference of Squares