Multiply a Polynomial by a Monomial

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Presentation transcript:

Multiply a Polynomial by a Monomial SWBAT multiply monomials; multiply a polynomial by a monomial

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

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

Examples y(y+5) -2n(7 – 5n2) -7m(3m2 + 4m + 5) 2ab(3a2 – 2ab + 6b2) 3a2 (2a2 – 5a + 8) -3x3y(5yx + 6y2)

Box Method 6y2 (4y2 – 9y - 7) 24y4 -54y3 42y2 4y2 – 9y - 7 6y2

Classwork Complete problems 1-11 on your worksheet Homework WB page 173, 1-10