Operations in Polynomials

Find the area of a rectangle with length (x - 5) and width (3x + 1).

• 3x²+16x-5

• 3x²-14x+5

• 3x²-14x-5

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

Multiply:
(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Classify by degree of polynomial:
3x³ – 6x

• Constant

• Linear

• Quadratic

• Cubic

Simplify the expression.
(4n⁴-8n+4) - (8n²+4n⁴+1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Divide using synthetic division
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Use synthetic division

• 2x³ + 3x  (7/x-4)

• 2x² + 3x + 8 + (7/x-4)

• 2x² + 3x + 8

• 2x² - x + 10 + (6/x-4)

Classify by number of terms:
2x – 9

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

• 7, 24y

• 3x, 9x

• 3x, -9x

• 3x, -9x, 2x²