1. MATH 1310
Section 4.2

2. Dividing Polynomials

5. Popper 22 Question 1:
a. 6x3 – 15x2 + 34x – 85
b. 6x3 – 15x2 + 10x – 13
c. 3x2 + 2x +12
d. 6x3 – 15x2 + 10x – 25

8. Popper 22 Question 2:
a. x2 – 2x + 4
b. x2 + 2x – 4
c. x2 – 2x + 4, R 6
d. x2 + 2x + 4, R 16

9. Popper 22 Question 3:
Divide the following: 2𝑥 3 −5𝑥+2 𝑥 2 +𝑥 a. 2𝑥−2+ −3𝑥+2 𝑥 2 +𝑥 b. 2𝑥+2+ 8𝑥+5 𝑥 2 +𝑥 c. −2𝑥+3+ −𝑥+2 𝑥 2 +𝑥 d. 2𝑥−2− 3𝑥+2 𝑥 2 +𝑥

10. Popper 22 Question 4: Divide the following: 4 𝑥 5 −3 𝑥 2 +2𝑥 𝑥−1
4 𝑥 4 +𝑥+3+ 3 𝑥−1
b. 4 𝑥 4 − 𝑥 3 +2 𝑥 2 +3𝑥+1− 3 𝑥−1
c. 4 𝑥 4 +𝑥+3+ 5 𝑥−1
d. 4 𝑥 4 +4 𝑥 3 +4 𝑥 2 +𝑥+3+ 3 𝑥−1

13. Popper 23 Question 1:
a. Yes
b. No
c. Cannot Be Determined

14. Popper 23 Question 2: Use synthetic division to determine p(2) if
p(x) = 5x6 – 2x5 + 7x4 – 8x3 + 2x – 3 -3
305
-553
273

16. Popper 23 Question 3:
a. p(x) = x (x + 2) (x – 3)
b. p(x) = x (2x)(-3x)
c. p(x) = x (x + 2)3(x – 3)3
d. p(x) = x (x – 2)(x + 3)

17. If the polynomial f(x) = x3 + 3x2 – 13x – 15 has one root located at (-5, 0), determine all other roots.

18. A polynomial has roots of -1, 3, and 5, and a y-intercept at (0,-30)
A polynomial has roots of -1, 3, and 5, and a y-intercept at (0,-30). Determine its equation.