Question

HELP ME PLEEEEEESE!!!!!!!!!!!!!!!


1. Factor completely 5x2 − 5x − 100.


A. (5x − 10)(x + 10)

B. 5(x − 2)(x + 10)

C. (5x + 20)(x − 5)

D. 5(x + 4)(x − 5)


2. Factor completely 64x2 − 1.


A. (8x − 1)(8x − 1)

B. (8x − 1)(8x + 1)

C. (1 − 8x)(1 − 8x)

D. (1 − 8x)(1 + 8x)


3. Which of the following is a factor of 7x2 − 12x − 4?


A. 7x − 2

B. x + 2

C. x − 4

D. None of the above


4. Which is a factor of 15xy − 45x − 6y + 18?


A. y − 2

B. 5x − 3

C. 5x − 2

D. y − 6


5. Determine the equation of the graph and select the correct answer below.

parabolic function going down from the left through the point negative five comma zero and turning at the point negative four c

A. y = (x + 4)2 + 1

B. y = (x + 4)2 − 1

C. y = (x − 4)2 + 1

D. y = (x − 4)2 − 1


6. Use the graph below to answer the following question:

graph of parabola going through 0, 4, 2, negative 4, and 4, 4

What is the average rate of change from x = 0 to x = 4?


A. 0

B. 1

C. 4

D. 8


7. Of the following, which is the solution to 2x2 − 5x = −8?


A. the quantity negative five plus or minus i times the square root of thirty-nine over four

B. the quantity five plus or minus i times the square root of thirty-nine over four

C. the quantity five plus or minus i times the square root of thirty-nine over two

D. the quantity negative five plus or minus i times the square root of one hundred ninety-two over two


8. Solve x2 − 7x = −12.


A. x = 2 and x = 6

B. x = 6 and x = −2

C. x = −4 and x = −3

D. x = 4 and x = 3


9. What are the solutions of 2x2 + 8x = −26?


A. −2 ± 3i

B. −2 ± i

C. 2 ± 6i

D. −3 ± 2i


10. Which of the following is a solution of x2 − 2x = −8?


A. -1 - i square root of 28

B. 1 + i square root of 28

C. -1 - i square root of 7

D. 1 + i square root of 7

Answer 1

Answer:
1)

$5x^{2}-5x-100\\\\5x^{2}-25x+20x-100\\\\ 5x(x-5)+20(x-5)\\\\(5x+20)(x-5)$

Option C is correct.


2)

$64x^{2}-1\\\\(8x)^{2}-1^2\\\\(8x+1)(8x-1)$

option B is correct.

3)

$7x^{2}-12x-4\\\\7x^{2}-14x+2x-4\\\\ 7x(x-2)+2(x-2)\\\\(7x+2)(x-2)$

So,option d is correct.

4)

15xy − 45x − 6y + 18

15x(y-3)-6(y-3)

(y-3)(15x-6)

3(y-3)(5x-2)

are the factors.

Option C is correct.

7)

$2x^{2}-5x+8\\\\x_{1,2}= \frac{-b±\sqrt{b^{2}-4ac}}{2a}\\\\x_{1,2}= \frac{5±\sqrt{(-5)^{2}-64}}{4}\\\\= \frac{5±\sqrt{-39}}{4}\\\\= \frac{5±i\sqrt{39}}{4}$

Option B is correct.

8)
$x^{2}-7x+12\\\\x^{2}-4x-3x+12\\\\ x(x-4)-3(x-4)\\\\(x-3)(x-4)\\\\=(x-3) =0\\\\x=3 ,x= 4$

Option D is correct.

9)



$2x^{2}+8x+26\\\\x_{1,2}= \frac{-b±\sqrt{b^{2}-4ac}}{2a}\\\\x_{1,2}= \frac{-8±\sqrt{(8)^{2}-208}}{4}\\\\= \frac{-8±\sqrt{-144}}{4}\\\\= \frac{-8±i12}{4}\\\\=-2±i3$

Option A is correct.

10)

$x^{2}-2x+8\\\\x_{1,2}= \frac{-b±\sqrt{b^{2}-4ac}}{2a}\\\\x_{1,2}= \frac{2±\sqrt{(-2)^{2}-32}}{2}\\\\= \frac{2±\sqrt{-28}}{2}\\\\= \frac{2±i2\sqrt{7}}{2}\\\\=1±i\sqrt{7}$

Option D is correct.

Answer 2

Answer:

which of the following is a solution of x 2 - 2 is equal to minus sin square root of 28