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Example Questions
Example Question #1 : Monomials
Example Question #2 : How To Multiply A Monomial By A Polynomial
Evaluate.
Using the distributive property you are simply going to share the term , with every term in the poynomial
Now because we are multiplying like variables we can add the exponents, to simplify each expression
This will be our final answer because we can not add terms unless they are 'like' meaning they contain the same elements and degrees.
Example Question #3 : How To Multiply A Monomial By A Polynomial
Multiply:
Example Question #4 : How To Multiply A Monomial By A Polynomial
Simplify the following:
None of the other answers
Distribute the to each term in the parentheses in the other polynomial.
Putting the results back together
Example Question #1 : Monomials
Multiply:
Multiply each term of the polynomial by . Be careful to distribute the negative sign.
Add the individual terms together:
Example Question #6 : How To Multiply A Monomial By A Polynomial
Simplify the following
Distribute to each term in the parentheses in the polynomial
Combine the results
Example Question #7 : How To Multiply A Monomial By A Polynomial
Expand the expression by multiplying the terms.
When multiplying, the order in which you multiply does not matter. Let's start with the first two monomials.
Use FOIL to expand.
Now we need to multiply the third monomial.
Similar to FOIL, we need to multiply each combination of terms.
Combine like terms.
Example Question #1 : Simplifying Expressions
Find the product:
First, mulitply the mononomial by the first term of the polynomial:
Second, multiply the monomial by the second term of the polynomial:
Add the terms together:
Example Question #1 : Monomials
Expand:
To expand, multiply 8x by both terms in the expression (3x + 7).
8x multiplied by 3x is 24x².
8x multiplied by 7 is 56x.
Therefore, 8x(3x + 7) = 24x² + 56x.
Example Question #2 : Monomials
Write as a polynomial.
We need to distribute the 4x2 through the terms in the parentheses:
This becomes .
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