Quiz about Algebra 2 CA3 Review

Question 1

Use Synthetic Division to find the result when $$2x^3-10x^2+5x+21$$ is divided by $$x-3$$ .

Accepted Answer

$$2x^2-4x-7$$

Answer

$$2x^2+4x+17$$

Answer

$$2x^2-16x+43$$

Answer

$$2x^2+4x+8+\frac{24}{\left(x-3\right)}$$

Question 2

Find the quotient when $$\left(x^3+2x^2-8x+35\right)\div\left(x+5\right)$$

Accepted Answer

$$x^2-3x+7$$

Answer

$$x^2+8x-5$$

Answer

$$x^2+3x-24+\frac{50}{\left(x+5\right)}$$

Answer

$$x^2+7x-18$$

Question 3

The remainder when (3x³ -5x² -4x +1) is divided by (x + 3) is _____________.

Accepted Answer

-113

Answer

-25

Answer

25

Answer

113

Question 4

If $$f\left(x\right)=8x^4-3x^3+4x-29$$ , then what is the remainder when $$f\left(x\right)$$ is divided by $$x-2$$ ?

Accepted Answer

83

Answer

147

Answer

-39

Answer

0

Question 5

If $$f\left(x\right)=x^5+7x^2-x+48$$ , then what is the remainder when $$f\left(x\right)$$ is divided by $$x-1$$ ?

Accepted Answer

55

Answer

41

Answer

178

Answer

-129

Question 6

Given $$f\left(x\right)=x^3+kx-10$$ , and $$\left(x-1\right)$$ is a factor of $$f\left(x\right)$$ , then what is the value of k?

Accepted Answer

9

Answer

-14

Answer

8

Answer

-10

Question 7

Given $$f\left(x\right)=3x^3-kx+21$$ , and the remainder when $$f\left(x\right)$$ is divided by $$\left(x-2\right)$$ is 31, then what is the value of k?

Accepted Answer

k = 7

Answer

k = 0

Answer

k = -13

Answer

k = -6

Question 8

Given $$f\left(x\right)=x^3+5x+k$$ and $$\left(x-4\right)$$ is a factor of $$f\left(x\right)$$ , then what is the value of k?

Accepted Answer

k = -84

Answer

k = 48

Answer

k = -26

Answer

k = 19

Question 9

Factor the expression completely.

$$18x^2-12x$$

Accepted Answer

6x(3x - 2)

Answer

2x(9 - 6x)

Answer

3x - 2

Answer

6(3x - 2)

Question 10

Factor out the expression 12x + 30.

Accepted Answer

6(2x+5)

Answer

2(6-15x)

Answer

3x(4+10)

Answer

12(x+18)

Question 11

Factor the expression.

$$-14x^3+42x$$

Accepted Answer

$$14x\left(-x^2+3\right)$$

Answer

$$7x\left(-2x+7\right)$$

Answer

$$2x\left(-7x^2-21\right)$$

Answer

$$12x\left(-2x^2+30\right)$$

Question 12

Find the factor for the expression.

$$x^2-14x+45$$

Accepted Answer

$$\left(x-5\right)\left(x-9\right)$$

Answer

$$\left(x-5\right)\left(x+9\right)$$

Answer

$$\left(x+5\right)\left(x-9\right)$$

Answer

$$\left(x+5\right)\left(x+9\right)$$

Question 13

Which of the following is the complete factor of the quadratic trinomial below?

$$x^2-2x-8$$

Accepted Answer

$$\left(x+2\right)\left(x-4\right)$$

Answer

$$\left(x-2\right)\left(x+4\right)$$

Answer

$$\left(x+2\right)\left(x+4\right)$$

Answer

$$\left(x-2\right)\left(x-4\right)$$

Question 14

Factor
a² - a - 12

Accepted Answer

(a - 4)(a + 3)

Answer

(a + 6)(a - 4)

Answer

(a - 6)(a + 4)

Answer

(a + 4)(a - 3)

Question 15

Factor out the expression completely.

$$3x^2+13x-10$$

Accepted Answer

$$\left(3x-2\right)\left(x+5\right)$$

Answer

$$\left(\frac{1}{3}x-2\right)\left(9x+5\right)$$

Answer

$$\left(\frac{1}{3}x-4\right)\left(x+5\right)$$

Answer

$$\left(3x+2\right)\left(x-5\right)$$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics