Question : Factor completely, or state that the polynomial is prime. 1) x^2 - 4x - 45 : 2152278

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Factor completely, or state that the polynomial is prime.

1) x² - 4x - 45

A) (x + 9)(x + 1)

B) prime

C) (x - 9)(x + 5)

D) (x + 9)(x + 5)

2) x² - 4x + 4

A) (x - 2)(x + 2)

B) (x + 2)²

C) (x - 2)²

D) prime

3) 28y⁴ + 147y³ - 126y²

A) 7y²(4y - 3)(y + 6)

B) 7y²(4y + 3)(y - 6)

C) prime

D) 7y(4y² + 3)(y - 6)

4) x³ - x² + 7x - 7

A) (x² - 7)(x - 1)

B) (x² + 7)(7x - 1)

C) (x - 1)(x + 1)(x + 7)

D) (x² + 7)(x - 1)

5) x² + 7x

A) 7(x² + x)

B) x²(1 + 7x)

C) 7x(x + 1)

D) x(x + 7)

6) x³ - x² - 42x

A) x(x + 6)(x - 7)

B) prime

C) x(x + 7)(x - 6)

D) (x² + 1)(x - 42)

7) 6x² - 26x - 20

A) (6x + 4)(x - 5)

B) 2(3x - 2)(x + 5)

C) 2(3x + 2)(x - 5)

D) prime

8) 9x² - 16

A) (3x + 4)(3x - 4)

B) prime

C) (3x + 4)²

D) (3x - 4)²

9) x³ + 1000

A) (x - 10)(x² + 10x + 100)

B) (x - 1000)(x² - 1)

C) (x + 10)(x² + 100)

D) (x + 10)(x² - 10x + 100)

10) x² - 8x + 7

A) prime

B) (x + 1)(x - 7)

C) (x - 1)(x - 7)

D) (x + 1)(x + 1)

11) 25x² + 4

A) (5x + 2)(5x - 2)

B) prime

C) (5x + 2)²

D) (5x - 2)²

12) 14y³ + 63y² - 35y

A) 7y(2y + 1)(y - 5)

B) 7y(2y - 1)(y + 5)

C) y(14y - 7)(y + 5)

D) prime

13) 3x² - 27

A) 3(x + 3)(x - 3)

B) prime

C) 3(x - 3)²

D) 3(x + 3)²

14) 98x² + 224x + 128

A) 2(7x + 8)²

B) 2(7x - 8)²

C) prime

D) 2(7x + 8)(7x - 8)

15) x⁴ - 625

A) (x² + 25)(x + 5)(x - 5)

B) (x² - 25)(x² - 25)

C) prime

D) (x² + 25)(x² + 25)

16) 49x² - 42x + 9

A) (7x - 3)²

B) (7x - 3)(7x + 3)

C) (7x + 3)²

D) (49x + 1)(x + 9)

17) 7x² + 78x + 11

A) prime

B) (7x + 1)(x + 11)

C) (7x + 11)(x + 1)

D) (7x - 1)(x - 11)

18) x³ + 2x² + x + 2

A) (x² + 2)(x + 1)

B) (x² + 1)(x + 2)

C) (2x² + 2)(x + 1)

D) (x² + 1)(2x + 2)

19) 18x³ - 33x² + 9x

A) x(9x - 3)(2x - 3)

B) x(3x - 1)(6x - 9)

C) 3(3x² - 1)(2x - 3)

D) 3x(3x - 1)(2x - 3)

20) x³ - 125

A) (x - 5)(x² + 25)

B) (x + 5)(x² - 5x + 25)

C) (x + 125)(x² - 1)

D) (x - 5)(x² + 5x + 25)

21) 2x² - 10xy + 12y²

A) 2(x - 2)(x - 3)

B) 2(x + 2y)(x + 3y)

C) 2(x - 2y)(x - 3y)

D) prime

Solve the quadratic equation.

22) x² + 3x - 88 = 0

A) {-11, 8}

B) {-11, 1}

C) {8, 11}

D) {-8, 11}

23) 5x² + 18x = 8

A) {(5/2), 4}

B) {0, (18/5)}

C) {(2/5), -4}

D) {0, - (18/5)}

24) x(x - 1) = 20

A) {-4, 5}

B) {-5, -4}

C) {4, 5}

D) {1, 20}

25) 9x² = 5x

A) {- (5/9), 0}

B) {- (9/5), 0}

C) {0, (9/5)}

D) {0, (5/9)}

26) 25x² = 16

A) {(5/6)}

B) {- (4/5), (4/5)}

C) {(5/36)}

D) {- (4/25), (4/25)}

27) (x + 3)(x + 1) = 48

A) {1, 3}

B) {-3, -1}

C) {-9, 5}

D) {-5, 9}

Solve the problem.

28) Find a formula for the area of the shaded grey region and express it in factored form.

9x

A) (x + 9)(x - 9)

B) (9x + 1)(9x - 1)

C) (9x - 1)(9x - 1)

D) 9x - 1

29) An object is thrown upward from the top of a 160-foot building with an initial velocity of 48 feet per second. The height h of the object after t seconds is given by the quadratic equation h = -16t² + 48t + 160. When will the object reach the ground?

A) 160 sec

B) 5 sec

C) -2 sec

D) 2 sec

30) The width of a rectangle is 6 feet less than twice its length. If its area is 140 square feet, find the dimensions of the rectangle.

A) width: 10 ft; length: 14 ft

B) length: 7 ft; width: 8 ft

C) length: 3 ft; width: (140/3) ft

D) length: 10 ft; width: 14 ft