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Math 50. 3.6 – Introduction to Factoring. Dividing Monomials. Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base . So, for , . Dividing Monomials. Since , we know that .
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Math 50 3.6 – Introduction to Factoring
Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for ,
Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for ,
Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract
Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract
Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract Ex 1.Divide:
Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract Ex 1.Divide:
Notice that but also In general, for , (Note: is _____________________)
Notice that but also In general, for , (Note: is _____________________)
Notice that but also In general, for , (Note: is _____________________)
Notice that but also In general, for , (Note: is _____________________)
Notice that but also In general, for , (Note: is _____________________)
Notice that but also In general, for , (Note: is _____________________) So,
Notice that but also In general, for , (Note: is _____________________) So,
Notice that but also In general, for , (Note: is _____________________) So, indeterminate
Ex 2.Simplify (assume ): Ex 3.Simplify:
Ex 2.Simplify (assume ): Ex 3.Simplify:
Ex 2.Simplify (assume ): Ex 3.Simplify:
Ex 2.Simplify (assume ): Ex 3.Simplify:
Ex 2.Simplify (assume ): Ex 3.Simplify:
Ex 2.Simplify (assume ): Ex 3.Simplify:
Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide:
Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide
Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide Subtract
Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide Subtract
Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide Subtract
Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.
Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.
Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.
Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.
Divide Polynomial by Monomial Ex 6.Divide: Ex 7.Divide:
Find Unknown Factor Ex 8.Find the unknown factor: Ex 9.Find the unknown factor:
When a number or expression is written as product of factors it is in __________________. ex: is factored form for
When a number or expression is written as product of factors it is in __________________. ex: is factored form for factored form
When a number or expression is written as product of factors it is in __________________. ex: is factored form for factored form
How to factor monomial GCF out of a polynomial 1. Find GCF of terms of polynomial. 2. Rewrite polynomial like this: 3. Divide inside the parentheses.
Ex 10.Factor: Ex 11.Factor:
Summary: (ex: ) (ex: ) Divide monomials: 1. Divide coefficients, 2. Subtract exponents. (ex: ) Factor out GCF: 1. Find GCF, 2. , 3. Divide.