Multiplying Monomials and Binomials

Multiplying Polynomials

By Leigh Moore

Multiply Polynomials

• When multiplying polynomials, remember the rules of exponents

• 1. when multiplying same bases, add exponents

• 2. when dividing same bases, subtract exponents

• 3. when raising a power to a power, multiply exponents

• 4. any number to the zero power is 1

Math Response

Type answer here

Correct Answer: -24x^8+6x^{11}

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Rad

Math Response

Type answer here

Correct Answer: 20x^3y^3+5x^2y^3-10xy^5

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Multiple Choice

2x²(x+5)

• 2x²+5

• 2x²+10x²

• 2x³+5

• 2x³+10x²

Multiple Choice

Simplify:
3x³(2x² + 9x + 6)

• 6x⁵ + 27x⁴ + 18x

• 6x⁵ + 18x² + 9

• 6x⁵ + 27x⁴ + 18x³

• 6x⁵ + 45x³ 

Multiple Choice

Simplify:
3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

• 8a³ + 11a² + 6a

• 15a³ + 24a + 6

Multiplying Polynomials (Box and Distributive Methods)

​Write the polynomial product using the values given in the box:

Math Response

Type answer here

Correct Answer: x^2-8x+7

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Math Response

Type answer here

Correct Answer: 6x^2-14x-40

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Multiple Choice

Find the product:
(3x – 1)(x + 5) 

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Multiple Choice

Multiply.
(x - 5)(x + 1)

• x² - 4x - 5

• x² + 6x - 5

• x² - 5x - 4

• x² - 4x - 4

Multiple Choice

Find the product.
(2y - 7)(3y + 5)

• y² + 2y + 4

• 6y² -11y -35

• -35 -11y + 6y²

• 2y² -17y +30

Math Response

Type answer here

Correct Answer: x^2-8xy+16y^2

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Multiple Choice

Find the square of ( x+ 5)²

• x² + 10x +25

• x² - 10x +25

• x² + 10x -25

• -x² + 10x +25

Multiple Choice

Simplify completely. (3a + 4)²

• 9a²+12a+16

• 9a²+24a+16

• 9a²+12a+8

• 9a²+24a+8

Math Response

Type answer here

Correct Answer: -14x^2-62xy-24y^2

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Rad