15-1 Polynomials

A variable expression that consists of one or more terms.

• Binomial

• Monomial

• Polynomial

• Standard form

A polynomial that has one term.

• Binomial

• Monomial

• Trinomial

• Polynomial

A polynomial that has two terms.

• Binomial

• Monomial

• Trinomial

• Standard form

A polynomial that has three terms.

• Binomial

• Monomial

• Trinomial

• Polynomial

Standard form - the form of a polynomial in which the terms are arrange in order from the ____ to the ____ power of one of the variables.

• lowest

  highest

• highest

  lowest

Write the polynomial in standard form.

-2x + x² + 5

• -2x + x² + 5

• 5 - 2x + x²

• x² + 5 - 2x

• x² - 2x + 5

Write the polynomial in standard form.

x⁴ + 2x² - x³ - 2 - 7x

• x⁴ - x³+ 2x² - 7x + 2

• -2 - 7x x⁴ + 2x² - x³

• x⁴ - x³ + 2x² - 2 - 7x

• x⁴ - x³+ 2x² - 7x - 2

Simplify. (hint: group like terms, combine like terms and write in standard form)

7c - 8c² +6c + 8c²

• 16c² + 13c

• 13c

• • -16c² + 13

• -13c

Simplify. (hint: group like terms, combine like terms and write in standard form)

4w² - 5w³ + 3w - 5 + 8w³ +7

• -5w³+8w³+4w²+3w

• - 3w³ + 4w²+ 3w - 2

• 3w³ + 4w²+ 3w + 2

• 13w³ + 4w²+ 3w - 12

Simplify. (hint: group like terms, combine like terms and write in standard form)

• - 2r² + 2r² + 11 - 2r + 2r - 11

• • 4r² + 4r - 11

• • 4r

• 0

• 22