1. 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

2. 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 – x2 – 6x – 18
Combine like terms
18x2 + 2x - 38

3. 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

4. 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

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

6. Homework #52
Mushroom Worksheet
p , (x 3’s)