Multiplying Polynomials by Monomials

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Mathematics

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9th Grade

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Shawn Ram

Used 12+ times

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22 Slides • 8 Questions

Multiplying Polynomials by Monomials

Multiple Choice

40x⁴ ÷ 8x

5x³

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 + 6x³y⁴

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Multiplying Polynomials by Monomials

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