MATH 1310 Section 4.2.

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MATH 1310 Section 4.2

Dividing Polynomials

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

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

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

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

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

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

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)

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

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.