Add, Subtract, Multiply, Divide Polynomials and Monomials

Divide the polynomial by the monomial.

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

When multiplying polynomials, what is the exponent law you must apply to the variables?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

When dividing polynomials, what is the exponent law you must apply to the variables?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

Determine the product of (3c)(10c)

• 13c²

• 30c

• 30c²

• 13c

-20x⁶ + (-10x⁶)

• 10x¹²

• -30x⁶

• -10x⁶

• -30x¹²

Simplify the expression.
2x(-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Multiply the monomials: (7v³) (10u³v⁵ )

• 70u³v⁶

• 17u³v⁸

• 70u³v⁸

• 70v⁵

Expand 3a(5a² + 8a + 2) using the distributive property.

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

• 8a³ + 11a² + 6a

• 15a² + 24a + 6

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

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden.

• 6x² + 21x

• 6x² - 21

• 6x²- 21x

• 5x² + 21x