Intro to Polynomials

Classify by degree of polynomial:

3x⁴ – 8x + 5

• Quartic

• Linear

• Quadratic

• Cubic

• Constant

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

What is the leading coefficient of the polynomial?

7x⁵ - 9x² + 6x

• 7

• 7x⁵

• -9

• -9x²

What is the leading coefficient of the polynomial?

2x⁴ + 9x⁵ - x³ + 9x² - 2

• 9

• 9x⁵

• 2x⁴

• 2

How many terms are in this polynomial?

2x³-8x²+3x-7

• 7

• 1

• 4

• 2

What is the leading term of this polynomial?

2x³-8x²+3x-7

• 2

• -8

• 2x³

• -8x²

What is the leading term of this polynomial? $3x^4-6x^7+4x^2$  

• 3

•  $3x^4$  

•  $-6$  

•  $-6x^7$  

Find the zeros of the polynomial.

f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = $5,\frac{2}{3},6,\frac{7}{4}$

• x= $-5,\frac{3}{2},\frac{-4}{7},6$

• x= $5,\frac{-3}{2},\frac{4}{7},-6$

• x= $6,5,\frac{-2}{3},\frac{-4}{7}$

What does the word "multiplicity" refer to?

• The number of curves a graph possesses.

• The number of times a zero occurs.

• The degree of a polynomial.

• The number of factors a polynomial has.

State the zeros and their multiplicities.

y = (x + 2)⁴(x - 7)³

• -2 (multiplicity 4), 7 (multiplicity 3)

• 2 (multiplicity 4), -7 (multiplicity 3)

• -2 (multiplicity 1), 7 (multiplicity 1)

• 2 (multiplicity 1), -7 (multiplicity 1)