Multiply the polynomials using the FOIL method. Express your answer

Helen Lewis 2021-12-17 Answered
Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(-2x-3)(3-x)
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Expert Answer

lovagwb
Answered 2021-12-18 Author has 50 answers
Step 1
The given expression is,
(-2x-3)(3-x)
We need to multiply the given polynomials using FOIL method.
Using FOIL method,
On multilying the first terms of the polynomials, we get
(-2x)(3)=-6x
On multilying the outer terms of the polynomials, we get
(2x)(x)=2x2
On multilying the internal terms of the polynomials, we get
(-3)(3)=-9
On multilying the last terms of the polynomials, we get
(-3)(-x)=3x
Step 2
On combining all the products, we get
6x+(2x2)+(9)+(3x)=2x23x9
Therefore, the required product is 2x23x9

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Marcus Herman
Answered 2021-12-19 Author has 41 answers
Multiply the terms of the polynomials in the order First, Outer, Inner and Last.
(2x3)(3x)=2x3+(2x)(x)+(3)3+(3)(x)
Use the laws of exponents to multiply the monomials.
2x3+(2x)(x)+(3)3+(3)(x)=6x+2x1+19+3x
=2x26x+3x9
Now, combine the like terms using the distributive property.
2x26x+3x9=2x2+(6+3)x9
=2x23x9
Therefore, the product is 2x23x9.

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