All Algebra 1 Resources
Example Questions
Example Question #21 : How To Multiply A Monomial By A Polynomial
Simplify:
The answers provided do not show the correct simplificaiton.
When multiplying a whole number by a polynomial, we simply multiply that number by whatever coefficient is present in front of the variables of the polynomial. We then maintain the variables in the simplified expression.
Example Question #22 : How To Multiply A Monomial By A Polynomial
Simplify the following expression:
Use the distributive property to multiply the monomial and polynomial.
Example Question #443 : Variables
Evaluate the expression:
Multipying a monomial and trinomial boils down to distributing the monomial amongst all the parts of the trinomial as such:
After some cleanup we get:
Example Question #4676 : Algebra 1
Multiply:
All we need to do here is multiply every term within the polynomial by the monomial on the outside of the parentheses: .
To do this we need to multiply every term by and by . Remember that when we multiply by a variable (in this case ), we need to add to each of the exponents.
So this leaves us with .
Example Question #4677 : Algebra 1
Divide:
To divide this, we must pull out a common factor from the numerator and denominator.
The common factor from the numerator is only .
The common factor from the denominator is .
The only term that will cancel is the . We cannot cancel the inside and terms because they are different entities of a quantity.
The answer is:
Example Question #444 : Variables
Which of the following is equivalent to the given statement?
Which of the following is equivalent to the given statement?
This question asks us to distribute a monomial through a polynomial. To do so, we need to multiply the monomial (4b) by each part of the polynomial in parentheses.
So our answer in standard form is as follows:
Example Question #4682 : Algebra 1
Multiply the polynomial by the monomial.
When multiplying a polynomial and a monomial, distribute the monomial into the polynomial:
Then simplify and the answer is:
Example Question #4683 : Algebra 1
Multiply the polynomial by the monomial.
When multiplying a polynomial and a monomial, distribute the monomial into the polynomial:
Then simplify and the answer is:
Example Question #4682 : Algebra 1
Multiply the polynomial by the monomial.
When multiplying a polynomial and a monomial, distribute the monomial into the polynomial:
Then simplify and the answer is:
Example Question #4683 : Algebra 1
Multiply:
Distribute the term through every term inside the parentheses.
Simplify and multiply out each term.
The answer is: