Question Multiply and , then express the product in standard form.
Studdy Solution
STEP 1
Assumptions
1. We are given two polynomials, and .
2. We need to multiply these polynomials together.
3. The product should be expressed in standard form, which means writing the terms from highest to lowest degree.
STEP 2
To find the product of two polynomials, we will use the distributive property (also known as the FOIL method for binomials), which states that each term in the first polynomial must be multiplied by each term in the second polynomial.
STEP 3
First, multiply the first term of the first polynomial by both terms of the second polynomial.
STEP 4
Carry out the multiplication for each term.
STEP 5
Next, multiply the second term of the first polynomial by both terms of the second polynomial.
STEP 6
Carry out the multiplication for each term.
STEP 7
Now, multiply the third term of the first polynomial by both terms of the second polynomial.
STEP 8
Carry out the multiplication for each term.
STEP 9
Combine all the products obtained from steps 4, 6, and 8.
STEP 10
Combine like terms. In this case, combine the terms and the terms.
STEP 11
Add the coefficients of the like terms.
STEP 12
Write the final expression in standard form, which is already achieved as the terms are ordered from highest degree to lowest degree.
The product of and in standard form is .
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