Exploring Multiplying Polynomials by Monomials

What is the result of multiplying x by (x + 4)?

• x^2 + 4x^2

• x + 4x

• x^2 + 4

• x^2 + 4x

When distributing 5m^3 through (3m^2 - m - 7), what is the coefficient of the m^4 term?

• 15

• 5

• -5

• 35

What is the result of distributing -4 through (2g^2 + 7)?

• -8g^3 - 28g^2

• -8g^2 - 28

• -8g^3 - 28

• -8g^2 - 28g

How do you combine P^2Q^3 and P^5Q^2?

• P^6Q^6

• P^7Q^6

• P^6Q^5

• P^7Q^5

What is the result of distributing 5R^2S^2 through (-2R^2 + 3)?

• -10R^4S^2 + 15R^2S^2

• -10R^4S^2 + 15S^2

• -10R^4 + 15S^2

• -10R^4 + 15R^2S^2

What is the result of distributing -2x through (3x^2 - 4x + 7)?

• -6x^3 + 8x^2 + 14

• -6x^3 + 8x - 14x

• -6x^3 - 8x + 14

• -6x^3 + 8x^2 - 14x

What is the result of distributing 4b through (2a^2 - 5a + 10b)?

• 8a^2b - 5ab + 40b^2

• 8a^2b - 20ab + 40b^2

• 8a^2b - 20ab + 10b^2

• 8a^2b - 20a + 40b^2

What is the area of a trapezoid with bases 8x^2 and 2x, and height 4x^2?

• 16x^4 + 4x^3

• 16x^4 + 4x^3 + 4x^5

• 16x^4 + 4x^3 + 4x^5

• 16x^4 + 4x^3 + 4x^5

How do you find the area of a shaded region by subtracting the unwanted area from the total area?

• Subtract the smaller area from the larger area

• Divide the larger area by the smaller area

• Add the smaller area to the larger area

• Multiply the smaller area by the larger area

What is the result of distributing 6x through (8x - 1)?

• 48x^2 - x

• 48x - 6x

• 48x^2 - 6x

• 48x^2 - 6