Perform the indicated operation below and simplify if

Question

Question 1:

Simplify the following expression.

6x⁵(x⁴)

		6x11
		6x9
		6x8
		6x7
		6x10

Question 2:

Write a polynomial that fits the description:

A fifth-degree polynomial with leading coefficient 4

		1024x5 + 3x + 1
		4x5 + 3x + 1
		4x4 + 3x3 + 4x2 + 5x + 1
		6x5 + 3x + 1
		x5 + 4

Question 3:

Write a polynomial in standard form and identify the degree and leading coefficient of the polynomial

-x + 19x² + 1

		-x + 19x2 + 1   Degree:1; Leading Coefficient: -1
		19x2 - x + 1     Degree: 19; Leading Coefficient: 1
		19x2 - x + 1     Degree:3; Leading Coefficient: 1
		19x2 = x + 1    Degree: 2; Leading Coefficient: -19
		19x2 - x + 1     Degree: 2; Leading Coefficient: 19

Question 4:

Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.

(6y² - 7y - 3) - (2y² - 9y -7)

		4y2 + 2y + 4
		4y2 + 2y - 10
		4y2 - 16y +4
		8y2 -16y + 4
		8y2 + 2y + 4

Question 5:

Multiply or find the special product.

(4x - 9) (8x - 4)

		32x2 + 36
		32x2 + 88x -36
		32x2 + 88x + 36
		32x2 - 88x - 36
		32x2 - 88x + 36

Question 6:

Multiply or find the special product

(x+4)(x+9)

		x2 + 13x
		x2 + 4x + 36
		x2 + 36
		x2 + 13x + 36
		x2 + 13x + 9

Question 7:

Factor out the common factor.

8x³ - 104x

		8x3(1 - 13x)
		8(x3 - 13x)
		8x2(x - 13)
		x(8x2 - 104)
		8x(x2 - 13)

Question 8:

Completely factor the difference of two squares.

x² - 16

		(x+4) - (x-4)
		(x+4)2
		(x+4)(x-4)
		(x+4)+(x-4)
		(x-4)2

Question 9:

Factor the perfect square trinomial.

x² - 16x + 64

(x+8)(8-x)

(x+8)2

(x-8)2

(x+8)(x-8)

(x+8)

Question 10:

Factor the trinomial
x² + 14x + 45

(x-5)(x-9)

(x+5)(x-9)

(x+5)(x+9)

(x-5)-(x-9)

(x-5)(x+9)

Question 11:

Completely factor the expression

5x² - 125

5(x+5)(x+125)

5(x+5)(x+5)

5(x-5)(x-5)

5(x+5)(x-125)

5(x+5)(x-5)

Question 12:

Find the domain of the expression.

1/(5-x)

All real numbers x

All real numbers x such that x ≠ 5

All nonnegative real numbers x such that x = 5

All real numbers x such that x < 5

All real numbers x such that x ≠ 1/5

Question 13:

Find the coordinates of the point labeled VI

(3,2)

(3,-2)

(-2,-3)

(-3,-2)

(2,3)

Question 14:

Plot the points below whose coordinates are given on a Cartesian coordinate system.

(-2,7), (-7,-2), (7,-5), (7,-8)

Question 15:

Find the distance between the points
(-7,8), (5,-8)

Question 16:

Evaluate the expression for the value of x=-3. (If not possible, state the reason) 2x-2

-9

8

-6

6

-8