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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 32 Page 25

Apply the Distributive Property.

5t^2-34t+56

Practice makes perfect

To simplify the expression, we will first subtract the trinomial. Then we will apply the Distributive Property.

[ (t^2+3t-8)-(t^2-2t+6) ](t-4)

Remove parentheses

[ t^2+3t-8-(t^2-2t+6) ](t-4)

Distribute -1

( t^2+3t-8-t^2+2t-6 )(t-4)

Add and subtract terms

(5t-14)(t-4)

Distribute (t-4)

5t(t-4)-14(t-4)

Distribute 5t

5t^2-20t-14(t-4)

Distribute -14

5t^2-20t-14t+56

Subtract term

5t^2-34t+56

Subchapter links

Exercises p.25-27