7.5 Multiplying a Polynomial by a Monomial

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Presentation transcript:

7.5 Multiplying a Polynomial by a Monomial 3(x2 + 5x – 9) Distribute 3x2 + 15x – 27 2xy(x2y – 8xy3) Distribute (remember the power rules) 2x3y2 – 16x2y4 3a(a2 – 4a + 7) Distribute 3a3 – 12a2 + 21a

Simplify Expressions 4(3x2 + 2x – 5) + 3(2x2 – 2x – 6) Distribute the 4 to the first set of parentheses and the 3 to the second set. 12x2 + 8x – 20 + 6x2 – 6x – 18 Combine like terms 18x2 + 2x - 38

Try These 3(2t2 – 4t + 6) – 2(6t2 + 7t – 3) Answer: -6t2 – 26t + 24 -2(x2 + 3x – 1) + 3(-x2 – 2x + 7) Answer: -5x2 – 12x + 23

Polynomials on both sides of = y(y + 2) – y(y – 3) + 6 = 2(y + 4) – 11 y2 + 2y – y2 + 3y + 6 = 2y + 8 – 11 Combine like terms on each side 5y + 6 = 2y – 3 Get y’s on same side 3y + 6 = -3 Solve for y 3y = -9 y = -3

Try this one b(12 + b) – 7 = 2b + b(-4 + b)

Homework #52 Mushroom Worksheet p. 392 28-30, 36-51 (x 3’s)