Exercises 73–75 will help you prepare for the material covered...

Question

Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)

Accepted Answer

Hello everyone in this video. We're going to be looking at this practice problem where we want to find the product between these two terms. So the first term is two minus seven X. And the second term is negative five plus four X. So recall that we're multiplying polynomial. So we just want to make sure that each term in the first set of parentheses gets multiplied to each term in the second set of parentheses. And we can do that by following the foil method. So remember the foil method is the first terms get multiplied. So we have two times negative five. Just gives us negative 10. Then we have the outer terms. So two times four X. That gives us positive eight X. Then we have the inner terms negative seven X. Times negative five which gives us positive 35 X. And then we have the last terms of each set of parentheses where we have negative seven X. Times negative positive four X. Which gives us negative 28 X squared. So now you can see that we can combine these middle terms so we get negative Plus 43 x -28 X. Court. And now we can rearrange it. So that the highest order term comes first and the highest order term is just the one that has the greatest degree. And you can see here that we have X squared. So I'm gonna that becomes our first term. We have negative 28 x squared. And then the second highest order is this X. So that becomes plus 43 x. And then we have the negative 10 last. So this becomes the final answer for multiplying these two terms together, we have negative 28 X squared plus 43 X minus 10. And you can see that that aligns with answer choice C. So hopefully this video helped and see you next time.

Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)

Key Concepts

Distributive Property

Combining Like Terms

Polynomial Multiplication

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