How to multiply a monomial by a polynomial
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ACT Math › How to multiply a monomial by a polynomial
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1
Multiply:
CORRECT
Explanation
To solve you must multiply by both terms in
2
Multiply:
CORRECT
Explanation
Multiply by both terms in
3
Multiply
CORRECT
None of the other answers
Explanation
When multiplying a polynomial by a monomial, each term in the polynomial gets multiplied by the monomial. Calculate each term one at a time, then add the results to get the final answer. In this case, we start by multiplying .
and
, thus we get
. For the second term of the polynomial, we multiply
and
, resulting in
. Finally, we multiply
and
, resulting in
. Adding the three terms that we just found, we come to the answer of
.