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Aim: How do we multiply monomials with polynomials?
Do Now: 1. Solve:(3 – 4x + 2) – (2. What is another way to write?3. Evaluate:a. (4x3) • (3x2) b. () •(4x)c. (-5x) (-x)
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Agenda
• Do Now• Homework Check• Review of Friday’s lesson• Lesson• Practice
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Homework# 4 due Wednesday 9/181) (-4b)• (-6b)2) (-8r)(-2r) 3) (6x)(-3y)4) (5) (-7There will be a quiz this Wednesday. The quiz will be on adding and subtracting monomials and polynomials.
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Homework Check
1. = 2. (3)(4) = 123. (4) (5) = 4. (4)(5)()= 5. (3(4 + 5y) Will be reviewed in class
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Do Now
1. Solve:(3 – 4x + 2) – (
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Do Now
2. What is another way to write?
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Do Now
3. Evaluate:a. (4x3) • (3x2)
b. () •(4x)
c. (-5x) (-x)
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ReviewWrite out what is means:Example: ==Then() =
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On Friday we learned:
(4x3) • (3x2) 1) Multiply the constants.
(4• 3) = 122) Multiply like variables.
(x3 • x2) = *Remember for multiplication add exponents!*3) Put the terms next to each other!(4 • 3)(x3 • x2) = 12
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Practice together!
()(1)
2)
3)
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Another one!
(3xy)(4
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Last one!
(𝑥¿¿2)(3 𝑥𝑦 )¿
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Independent Practice
1. ((4)2. (()3. (()4. (()5. (()6. (()
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Monomial times a polynomial
For multiplying a monomial with a polynomial, use the distributive property.
(5x3)(4x + 6x2) 1) Distribute (multiply) the number outside the
parentheses to the first term.
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(5x3)(4x + 6x2)
2) Add a plus sign.
3) Multiply the term in front of the parentheses with the second term.
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(5x3)(4x + 6x2)
4) Now we are multiplying monomials!
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Let’s try together!
3x2 (2x +3)
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One more!
(3(4 + 5y)
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Try on your own!
1. 9x(5x +3)2. 3x(x4 – 4)3. x( x3 + 3)4. 3x(x4 – 4y)5. x( xy3 + 3y)
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1.9x(5x +3)2.3x(x4 – 4)3.x( x3 + 3)4. 3x(x4 – 4y)5.x( xy3 + 3y)
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Exit Slip
On a separate sheet of paper, answer the following. When you are done, raise your hand!This will be collected. Don’t forget to write your first and last name! 1. (6
2. 3x(x+2y)