Multiplying Polynomials by Monomials

Multiplying Polynomials by Monomials

Multiple Choice

40x⁴ ÷ 8x

• 5x³
• 5
• 5x⁴
• 320x⁵

Multiple Choice

2n⁴ * 5n⁴

• 7n⁴
• 10n¹⁶
• 10n⁸
• none of the above

After this lesson you will be able to

• Multiply a polynomial by a monomial

What it looks like with models

Let look at a model question

• When a train’s brakes are applied, the train travels a distance before it stops. After t seconds, the distance, in metres, that the train travels is given by the polynomial 2t(20 - t).

Multiple Choice

So.... what is the answer for 2t(20 - t)

• 2t x 20 - t

• 20t - 2t²

• 40t²-t²

• 40t - t²

One More

Using Algebra

Lets Try

Multiple Choice

4y ( 3y2 - 1 )

• 7y2 – 1

• 12y2 – 1

• 12y3 – 1

• 12y3 – 4y

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶
• 12m⁸ + 8m⁶

Multiple Choice

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y
• 12y³ + 14y² + 21y

Multiple Choice

5x(4x³ + 8)

• 9x⁴ + 40x
• 20x⁴ + 40x

Last One

This one is hard

Multiple Choice

-3x²y³(y² – x² + 2xy)

• -3x²y⁵ + 3x⁴y3 – 6x³y⁴

• -3x²y⁶ + 3x⁴y³ – 6x²y³

• -3x²y⁵ + 3x⁴y³ – 6x²y³

• 3x²y5 – 3x⁴y³ + 6x³y^4

Questions