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Here are two expressions whose product is a new expression, A: 1. What could we put in the boxes to make A be a polynomial?

Here are two expressions whose product is a new expression, A: 1. What could we put-example-1

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We are given the following product:


(-2x{}^3+B)(x^n+15)=A

For "A" to be a polynomial the value of the first box "B" must be a constant or a term of the form:


ax^n

We will use a constant. We will substitute the first box for "1":


(-2x^3+1)(x^n+15)=A

For the second box, we need to use an exponent that is a positive whole number.

We will use 2:


(-2x^3+1)(x^2+15)=A

With these values, the result of the product is a polynomial.

User Jason Van Anden
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