4Q - Part2

4th Quarter

Polynomial Equations

Polynomial Inequalities

Algebraic Rational Inequalities

Multiple Choice

Which of the following values will NOT satisfy the given polynomial equation below?

 $x^3-6x^2-9x+54=0$  

• -6

• -3

• 3

• 6

Multiple Choice

Consider the left-hand side of the equation below as p(x). Which of the following polynomials is NOT a factor of p(x)?

 $5x^3-11x^2-13x+3=0$  

•  $x+1$  

•  $x-3$  

•  $5x+1$  

•  $5x-1$  

Multiple Select

 Check all solutions that will satisfy the equation below. (Hint: One of the solution is 5.)

 $x^4-8x^3+14x^2+8x-15=0$ 

• -3

• -1

• 1

• 3

Multiple Choice

Which of the following values will NOT satisfy the polynomial inequality below?

 $x^3-2x^2-9x+18\ge0$  

• -4

• -3

• 2

• 5

Multiple Choice

Consider the function below. When x < -1/2, the function will give a positive value.

 $f\left(x\right)=-2x^3+11x^2-4x-5$  

• True

• False

Multiple Select

Which of the following is the solution for the given polynomial inequality below? (Note: Check all applicable)

 $-2x^3+11x^2-4x-5>0$  

•  $\left(-\infty,\ -\frac{1}{2}\right)$  

•  $\left(-\frac{1}{2},\ 1\right)$  

•  $\left(1,\ 5\right)$  

•  $\left(5,\ +\infty\right)$  

Fill in the Blank

Write all critical values of the inequality below. Arrange them in increasing order that is separated by a comma and a single space. (Example: 1, 2, 3)

 $-\frac{10}{x-5}\ge-\frac{11}{x-6}$  

Multiple Choice

Which of the following sets is a solution to the rational inequality below?

 $-\frac{10}{x-5}\ge-\frac{11}{x-6}$  

•  $\left(-\infty,\ -5\right]\cup\left(5,\ 6\right)$  

•  $\left[-5,\ 5\right)\cup\left(6,\ \infty\right)$  

•  $\left(-\infty,\ -5\right]\cup\left[5,\ 6\right]$  

•  $\left[-5,\ 5\right]\cup\left[6,\ \infty\right]$  

Multiple Select

Which is the best section?

• Champaca

• Dahlia

• Ilang-Ilang

• Sampaguita

Great Job!

“Learning is never done without errors and defeat.” 

– Vladimir Lenin