Multiply the polynomials using the FOIL method. Express your answer

lunnatican4

lunnatican4

Answered question

2021-12-18

Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(x-4)(x+2)

Answer & Explanation

reinosodairyshm

reinosodairyshm

Beginner2021-12-19Added 36 answers

Step 1
The given expression is (x-4)(x+2),
Foil method: (a+b)(c+d)=ac+ad+bc+bd
Step 2
(x4)(x+2)=x(x)+x2+(4)x+(4)2
=x2+2x4x8
=x22x8
abonirali59

abonirali59

Beginner2021-12-20Added 35 answers

Multiply the binomials using the FOIL method.
(x-4)(x+2)=x*x+x*2+(-4)x+(-4)2
Multiply the monomials using the laws of exponents.
xx+x2+(4)x+(4)2=x1+1+2x+(4)x+(8)
=x2+2x4x8
Combine the like terms using the distributive property.
x2+2x4x8=x2+(24)x8
=x2+(2)x8
=x22x8
Therefore, the result is x22x8.
Andre BalkonE

Andre BalkonE

Skilled2023-05-23Added 110 answers

To multiply the polynomials (x - 4)(x + 2) using the FOIL method, we follow these steps:
1. The in FOIL stands for multiplying the First terms in each binomial: x·x=x2.
2. The 'O' in FOIL stands for multiplying the Outer terms: x·2=2x.
3. The 'I' in FOIL stands for multiplying the Inner terms: 4·x=4x.
4. The 'L' in FOIL stands for multiplying the Last terms: 4·2=8.
Now, let's combine all the terms obtained in the previous steps:
(x4)(x+2)=x2+2x4x8
Simplifying further:
(x4)(x+2)=x22x8
Therefore, the final answer, expressed as a single polynomial in standard form, is:
x22x8
Jazz Frenia

Jazz Frenia

Skilled2023-05-23Added 106 answers

Result:
x22x8
Solution:
First, we multiply the first terms of both polynomials:
(x·x)=x2
Next, we multiply the outer terms:
(x·2)=2x
Then, we multiply the inner terms:
(4·x)=4x
Finally, we multiply the last terms:
(4·2)=8
Now, we can combine the results to obtain the final polynomial expression:
x2+2x4x8
Simplifying further:
x22x8
Thus, the final answer, expressed as a single polynomial in standard form, is:
x22x8
xleb123

xleb123

Skilled2023-05-23Added 181 answers

To solve the given problem using the FOIL method, we multiply the corresponding terms of each polynomial and combine like terms. Here's the solution expressed as a single polynomial in standard form:
(x4)(x+2)=x(x)+x(2)4(x)4(2)=x2+2x4x8=x22x8.
Therefore, the product of the polynomials (x-4) and (x+2) is x22x8.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?