Algebra 2 help?

Question

3. Which is equal to (4x^2 + 3x - 1) + (-3x^2- 5x - 8)? 
(Points : 4) 
x2- 2x + 9 

x2 + 2x + 9 

x2- 2x - 9 

x4 - 2x^2- 9 



Question 4.4. Which is equal to (2x^2- 5x + 4) (4x2 + 3x - 2)? 
(Points : 4) 
- 2x^2 8x + 6 

6x^2 - 2x + 2 

2x^2 - 2x + 2 

2x^4 - 8x2 + 6 



Question 5.5. Which is equal to (4x + 1)(3x - 2)? 
(Points : 4) 
12x^2- 5x 2 

7x^2 - 5x + 2 

12x^2 + 5x- 2 

12x^2 - 2 

7. Which represents 4x^3 + 18x^2 + 2x in factored form? 
(Points : 4) 
2x(2x^3 + 9x2 + x) 

2x(2x^2 + 18x2 + x) 

2x(2x^2 + 9x + 1) 

2x(4x^2 + 18x + 1) 



Question 8.8. Which represents 25x^2 - 81 in factored form? 
(Points : 4) 
(5x + 9)(5x + 9) 

(5x - 9)(5x- 9) 

(5x + 9)(5x - 9) 

(5x + 3)(5x- 3) 



Question 9.9. Which represents x^2 + 8^x + 16 in factored form? 
(Points : 4) 
(x + 4)^2 

(x + 4)(x - 4) 

(x - 4)^2 

(x- 2)(x - 8) 



Question 10.10. Which represents x^2 + 7^x 60 in factored form? 
(Points : 4) 
(x - 5)(x - 12) 

(x - 6)(x + 10) 

(x + 5)(x - 12) 

(x 5)(x + 12) 

12. Which is the equation of the power function p(x) = ax^3 where p(2) = 48? 
(Points : 4) 
p(x) = 24x^3 

p(x) = 6x^3 

p(x) = 6x^3 

p(x) = 8x^3

 

 

Comments

For question 10.10

Please provide exact information of given function

whether function is (x² + 7x + 60) or (x² + 7x - 60)

Answer 1

3)

(4x² + 3x - 1) + (-3x²- 5x - 8)

= 4x² + 3x - 1 - 3x² - 5x - 8

= 4x² - 3x² + 3x - 5x - 1 - 8

= x² - 2x - 9

Solution : Option(3) is correct : x² - 2x - 9.

Answer 2

5.5)

(4x + 1)(3x - 2)

= 4x (3x - 2)+ 1(3x - 2)

= 3x(4x) - 2(4x)+ 3x - 2

= 12x² - 8x + 3x - 2

= 12x² - 5x  - 2

Solution : Correct Answer is 12x² - 5x  - 2.

Answer 3

7)

4x³ + 18x² + 2x

= 2*2*x*x² + 9*2*x*x + 2x

= 2x²(2x) + 9x(2x) + 2x

= 2x ( 2x² + 9x + 1 )

Solution : Option(3) is Correct Answer : 2x ( 2x² + 9x + 1 ).

Answer 4

8.8)

25x² - 81

= 5*5*x² - 9*9

= (5²)(x²) - 9*9

= (5x)² - 9²

Apply formula : a² - b² = (a+b)(a-b)

= (5x+9)(5x- 9)

Solution : Option(3) is Correct Answer :(5x+9)(5x- 9).

Answer 5

9.9)

x² + 8x + 16

= x² + 2*x*4 + 4²

Apply formula : a² + 2ab + b² = (a+b)²

Here a = x , b = 4

= (x+4)²

Solution : Option(1) is Correct Answer :(x+4)².

Answer 6

12)

p(x) = ax³        -----------------------  (1)

Substitute x=2 in above equation(1)

p(2) = a(2)³ = a(2*2*2)

p(2) = 8a

But p(2) = 48

8a = 48

a = 48/8

a = 6

Substitute a = 6 in above equation(1)

p(x) = 6x³

Solution : Option(2) and Option(3) are is Correct Answers : p(x) = 6x³.

Answer 7

4.4)

(2x²- 5x + 4) + (4x² + 3x - 2)

= 2x²- 5x + 4 + 4x² + 3x - 2

= 2x² + 4x² - 5x + 3x + 4  - 2

= 6x² - 2x + 2

Solution : Option(2) is correct : 6x² - 2x + 2.