Factor (x) into linear factors given that k is a zero of f(x)

Factored form (linear): (4x+3)(x-3)(x-5)

Step-by-step explanation:

Using long division and factoring, we can find the answer. Since the root/zero of 5 is given already, we can change this into a factor of (x - 5) as 5 is a root.

Step 1: Long division. Divide f(x) by (x-5)

Once you do long division, you should have left over (x-5)(4x²+9x-9)

Step 2: Factor the quadratic

Since you can't do gcf, you have to leave the 4x as a factor. Once you factor out the quadratic, you should get the

(x-5)(4x+3)(x-3)

Step 3: Rearrange (Optional)

(4x+3)(x-3)(x-5)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above