Operations with Polynomials

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

Classify the following polynomial

• quadratic trinomial
• cubic binomial
• constant monomial
• quadratic binomial

Classify by number of terms:
12

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Tags

CCSS.HSA.APR.A.1

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ -3p² +16p -10
• 4p³ +3p² + 16p + 10

Tags

CCSS.HSA.APR.A.1

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Tags

CCSS.HSA.APR.A.1

Find the product:
(7r+5)(5r+3)

• 35r²+46r+15
• 12r+8
• 78r³+15
• 35r²+20r+15

Tags

CCSS.HSA.APR.A.1

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15
• 12x³ - 20x² - 5x + 15
• 12x³ - 20x² - 6x + 15
• 12x³ - 26x² + x + 15

Tags

CCSS.HSA.APR.A.1

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

• -33b + 19
• -47b² +  21
• 33b - 19
• -47b +19

Tags

CCSS.6.EE.A.3

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1