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Multiply a Polynomial by a Monomial
SWBAT multiply monomials; multiply a polynomial by a monomial
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Multiplying two monomials
Multiply the coefficient Multiply the variables using the laws of exponents (-5x2y)(7x3y4) (-5*7) (x2*x3)(y*y4) -35 (x2+3)(y1+4) -35x5y5
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Multiplying a Polynomial by a Monomial
Apply the distributive property to distribute the monomial across the terms of the polynomial Multiply the monomials to simplify 3a2b3(-7ab2 – 3a2b) 3a2b3(-7ab2) + 3a2b3(-3a2b) (3*-7)(a2*a)(b3*b2) + (3*-3)(a2*a2 )(b3*b) -21a3b5 + -9a4b4
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Examples y(y+5) -2n(7 – 5n2) -7m(3m2 + 4m + 5) 2ab(3a2 – 2ab + 6b2)
3a2 (2a2 – 5a + 8) -3x3y(5yx + 6y2)
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Box Method 6y2 (4y2 – 9y - 7) 24y4 -54y3 42y2 4y2 – 9y - 7 6y2
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Classwork Complete problems 1-11 on your worksheet Homework
WB page 173, 1-10
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