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Dividing polynomials by a monomial Module 10 - Topic 4
Dividing polynomials by a monomial
Module 10 - Topic 4
Dividing a Monomial by a Monomial
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
x5
x3
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
x5
x3
= x5−3
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
x5
x3
= x5−3
= x2
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
If the larger exponent is in the denominator, the result goes in the denominator.
x5
x3
= x5−3
= x2
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
If the larger exponent is in the denominator, the result goes in the denominator.
x5
x3
= x5−3
= x2
a4
a9
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
If the larger exponent is in the denominator, the result goes in the denominator.
x5
x3
= x5−3
= x2
a4
a9
=1a9−4
Dividing a Monomial by a MonomialApply the rules for dividing exponents:
Like bases, subtract smaller from the larger exponent to get the new exponent and keep the same base.
If the larger exponent is in the numerator, the result goes in the numerator.
If the larger exponent is in the denominator, the result goes in the denominator.
x5
x3
= x5−3
= x2
a4
a9
=1a9−4
=1a5
Simplify.8a5b3
6a2b7
Simplify.Reduce the numerical part by dividing the 8 and 6 by 2.
8a5b3
6a2b7
Simplify.Reduce the numerical part by dividing the 8 and 6 by 2.
8a5b3
6a2b74 8a5b3
3 6a2b7
Simplify.Reduce the numerical part by dividing the 8 and 6 by 2.
Apply the rules for dividing powers with like bases.
8a5b3
6a2b74 8a5b3
3 6a2b7
Simplify.Reduce the numerical part by dividing the 8 and 6 by 2.
Apply the rules for dividing powers with like bases.
And you are done dividing a monomial by a monomial.
8a5b3
6a2b7
4a3
3b4
4 8a5b3
3 6a2b7
4a5−2
3b7−3
Simplify each of the following. 12d 8 f 2
30d10 f27h3 jk5
9h9 jk9
Simplify each of the following. 12d 8 f 2
30d10 f27h3 jk5
9h9 jk9
=2 12 f 2−1
5 30d10−8
Simplify each of the following. 12d 8 f 2
30d10 f27h3 jk5
9h9 jk9
=2 12 f 2−1
5 30d10−8
=2 f5d 2
Simplify each of the following. 12d 8 f 2
30d10 f27h3 jk5
9h9 jk9
=2 12 f 2−1
5 30d10−8
=2 f5d 2
=3 27 j
1 9h9−3 j k9−5
Simplify each of the following. 12d 8 f 2
30d10 f27h3 jk5
9h9 jk9
=2 12 f 2−1
5 30d10−8
=2 f5d 2
=3 27 j
1 9h9−3 j k9−5
=3
h6k 4
Algebra Cruncher ProblemsFollow this link to try a couple on your own at Cool Math. Notice when you select the “Give me a Problem” button to try new problems, 2 rows are generated. Look carefully between them. That red line indicates this problem is a fraction.
Do your work in a notebook before entering your answer.
When you select “What’s the Answer?” compare your answer with the given answer.
Keep selecting new problems until you get 3 consecutive problems correct.
Divide a Polynomial by a MonomialVisit this Cool math website to learn about dividing a Polynomial by a monomial.
Be sure to click the “next page” to review the 2 pages of notes.
Complete the “Try it” problem on page 2 in your notebook.
Try It - Page 24wy2 − 20w2 + 6wy − 7( ) ÷ 4wy2
Try It - Page 24wy2 − 20w2 + 6wy − 7( ) ÷ 4wy2
=4wy2
4wy2−20w2
4wy2+6wy4wy2
−7
4wy2
Try It - Page 24wy2 − 20w2 + 6wy − 7( ) ÷ 4wy2
=4wy2
4wy2−20w2
4wy2+6wy4wy2
−7
4wy2
=4wy2
4wy2−
5 20w2−1
1 4 y2+
3 6 w2 4 w y2−1
−7
4wy2
Try It - Page 2
= 1− 5wy2
+32y
−7
4wy2
4wy2 − 20w2 + 6wy − 7( ) ÷ 4wy2
=4wy2
4wy2−20w2
4wy2+6wy4wy2
−7
4wy2
=4wy2
4wy2−
5 20w2−1
1 4 y2+
3 6 w2 4 w y2−1
−7
4wy2
Still a little confused?Here’s another tiny lesson dividing a polynomial by a monomial.
Only view the “Steps for Dividing a Polynomial by a Monomial.”
It’s Practice time...Go to the Regents Prep website to practice dividing a polynomial by a monomial. Only practice questions 1 through 7!
Message or Pronto me if you have questions.
Shall we Play a GAME?Check your knowledge on Dividing Polynomials by playing Jeopardy. Ok, technically it’s called Challenge Board but it’s the same idea! There are 4 categories: horseshoes, handgrenades, doesn’t count, and polynomial long division. Polynomial long division is not covered in Algebra 1 so either stay away from this topic or challenge yourself!
You have the option to play alone or against a friend or family member.
You could even arrange a time with a classmate to meet on Pronto to play. Try the App Share feature to see the same game board!
Congratulations!You’ve finished the notes and practice for Dividing a Polynomial by a Monomial.
You are now ready to proceed to the Mastery Assignment.
Good luck!
