(a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B

Name: Solved: (a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B - MathMaster
Brand: MathMaster
Rating: 4.9 (116 reviews)

116

likes

580 views

Answer to a math question (a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B

$Expert avatar$

Bud

4.6

92 Answers

$0=2{x}^{3}-11{x}^{2}+13x-4$

$0-2{x}^{3}+11{x}^{2}-13x+4=0$

$-2{x}^{3}+11{x}^{2}-13x+4=0$

$-2{x}^{3}+2{x}^{2}+9{x}^{2}-13x+4=0$

$-2{x}^{3}+2{x}^{2}+9{x}^{2}-9x-4x+4=0$

$-2{x}^{2} \times \left( x-1 \right)+9{x}^{2}-9x-4x+4=0$

$-2{x}^{2} \times \left( x-1 \right)+9x \times \left( x-1 \right)-4x+4=0$

$-2{x}^{2} \times \left( x-1 \right)+9x \times \left( x-1 \right)-4\left( x-1 \right)=0$

$-\left( x-1 \right) \times \left( 2{x}^{2}-9x+4 \right)=0$

$-\left( x-1 \right) \times \left( 2{x}^{2}-x-8x+4 \right)=0$

$-\left( x-1 \right) \times \left( x \times \left( 2x-1 \right)-8x+4 \right)=0$

$-\left( x-1 \right) \times \left( x \times \left( 2x-1 \right)-4\left( 2x-1 \right) \right)=0$

$-\left( x-1 \right) \times \left( 2x-1 \right) \times \left( x-4 \right)=0$

$\left( x-1 \right) \times \left( 2x-1 \right) \times \left( x-4 \right)=0$

$\begin{array} { l }x-1=0,\\2x-1=0,\\x-4=0\end{array}$

$\begin{array} { l }x=1,\\2x-1=0,\\x-4=0\end{array}$

$\begin{array} { l }x=1,\\x=\frac{ 1 }{ 2 },\\x-4=0\end{array}$

$\begin{array} { l }x=1,\\x=\frac{ 1 }{ 2 },\\x=4\end{array}$

$\begin{align*}&\begin{array} { l }x_1=\frac{ 1 }{ 2 },& x_2=1,& x_3=4\end{array} \\&\begin{array} { l }x_1=0.5,& x_2=1,& x_3=4\end{array}\end{align*}$

Frequently asked questions (FAQs)

What is the amplitude, period, and domain of the sine function f(x) = sin x?

Question: What is the surface area and volume of a sphere with a radius of 5 cm?

Question: Graph the equation y = 3^x and label three points on the graph, then indicate the point where x = 2.

New questions in Mathematics

a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?

5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15

11(4x-9)= -319

Solve: −3(−2x+23)+12=6(−4x+9)+9.

Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.

How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?

132133333-33