Dividing Polynomials by Binomials
Completion requirements
Read the section on dividing a polynomial by a binomial. Pay attention to the review of long division, since it will help you understand the technique. Review the solution to example 6.84 to see how to divide a trinomial by a binomial. Then, review the solution to example 6.85 to see how we handle dividing by a subtraction binomial. Be careful, and make sure you keep track of the negative sign.
After you study these examples, complete questions 6.167 through 6.170 in the Try It section.
TRY IT 6.167-6.170
TRY IT 6.167
Find the quotient: \(\left(y^{2}+10 y+21\right) \div(y+3)\).
TRY IT 6.168
Find the quotient: \(\left(m^{2}+9 m+20\right) \div(m+4)\).
TRY IT 6.169
Find the quotient: \(\left(2 x^{2}-3 x-20\right) \div(x-4)\).
TRY IT 6.170
Find the quotient: \(\left(3 x^{2}-16 x-12\right) \div(x-6)\).