Quiz about ADM Set 17 and 18 Summative- Solving Polynomials

Question 1

Solve. $$2x^2-7x-15=0$$

Accepted Answer

$$x=-\frac{3}{2},\ 5$$

Answer

$$x=\frac{7\pm i\sqrt{71}}{4}$$

Answer

$$x=\frac{7\pm\sqrt{106}}{4}$$

Answer

$$x=3,\ -\frac{5}{2}$$

Question 2

Find the roots: $$(x + 5)^2 + 8 = 5$$

Accepted Answer

$$x=-5\pm i\sqrt{3}$$

Answer

$$x=\pm2i\sqrt{2}$$

Answer

$$x=-8\pm\sqrt{5}$$

Answer

$$x=5\pm3i$$

Question 3

A system of equations is shown: $$y = x^2 + 3x + 6$$ and $$y = -2x + 2$$

Which of the following ordered pairs are solutions of the system of equations? Select the two ordered pairs.

Accepted Answer

(-1, 4)

Accepted Answer

(-4, 10)

Answer

(0, 6)

Answer

(3, 6)

Answer

(-2, -4)

Question 4

Factor by grouping.

$$x^3-5x^2+6x-30$$

Accepted Answer

$$\left(x^2+6\right)\left(x-5\right)$$

Answer

$$\left(x^2-5\right)\left(x+6\right)$$

Answer

$$\left(x+6\right)\left(x-5\right)$$

Answer

$$\left(x+3\right)\left(2x-6\right)$$

Question 5

Factor by grouping, then solve for x (simplify completely):

$$2x^3+6x^2-4x-12=0$$

Accepted Answer

$$x=-3;\ x=\pm\sqrt[]{2}$$

Answer

$$x\ =\ 2;\ x\ =\ \pm\sqrt[]{3}$$

Answer

$$x=3;\ x=\pm2$$

Answer

$$x=-3;\ x=\pm4$$

Question 6

Divide using long or synthetic division.

$$\left(2x^4-11x^3+15x^2+6x-16\right)\div\left(x-3\right)$$

Accepted Answer

$$2x^3-5x^2+6+\frac{2}{x-3}$$

Answer

$$2x^4-5x^3+6x+2$$

Answer

$$2x^3-5x^2+1x+6+\frac{2}{x-3}$$

Answer

$$2x^3-17x^2+66x-192+\frac{560}{x-3}$$

Question 7

GIven that $$x+2$$ is a factor of $$x^3-3x^2-4x+12=0,$$ find all of the solutions.

Accepted Answer

-2

Accepted Answer

2

Accepted Answer

3

Answer

-3

Answer

0

Question 8

Find the perimeter of the figure.

Accepted Answer

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

Answer

$$3x^2+5x+3$$

Answer

$$3x^2+6x+5$$

Answer

$$3x^2+13x+13$$

Question 9

If the perimeter of the figure is $$6x^2+7x-9$$ , find the missing side.

Accepted Answer

$$6x^2+2x-6$$

Answer

$$6x^2+5x-12$$

Answer

$$6x^2+7x-9$$

Answer

$$6x^2+12x-12$$

Question 10

Find the area of the given square.

Accepted Answer

$$9x^2+30x+25$$

Answer

$$6x+10$$

Answer

$$12x+20$$

Answer

$$9x^2+25$$

Question 11

If the given rectangle has an area of $$3x^2-5x-28,$$ find the missing side.

Accepted Answer

$$3x+7$$

Answer

$$3x+24$$

Answer

$$3x^2-17x+50$$

Answer

$$3x^2-6x-32$$

ADM Set 17 and 18 Summative- Solving Polynomials

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