214k views
2 votes
Factor problems 18-20

18. Which are the factors of the expression 3x2 + 23x – 8?
A (3x + 1)(x – 8)
B (3x – 8)(x + 1)
C (3x – 1)(x + 8)
D (3x – 1)(x – 8)

19. Which of the following is equal to x2 + 4x + 3?
A (x + 1)(x + 3)
B (x + 2)(x + 2)
C (x + 4)(x – 1)
D (x – 4)(x – 1)

20. Which shows 3x2 – 8x + 4 completely factored?
A (3x – 2)(x + 2)
B (3x + 4)(x – 1)
C (x + 4)(3x – 1)
D (3x – 2)(x – 2)

Show All Of Your Work

1 Answer

3 votes

Answer:

18. C (3x -1)(x +8)

19. A (x +1)(x +3)

20. D (3x -2)(x -2)

Explanation:

Since you know how to multiply binomials, you can easily check any of the offered answers to see if they work.

(ax +b)(x +c) = ax² +(b+ac)x +bc

___

18. All of the constants except for choice D multiply to give -8, so you must check the middle term:

A b+ac = 1-24 = -23 ≠ 23

B b+ac = -8+3 = -5 ≠ 23

C b+ac = -1+24 = 23 . . . . . this is the answer

D already eliminated because bc = 8 ≠ -8

__

19. The only answer with constants that multiply to give +3 is A.

__

20. The only answer with constants that multiply to give +4 is D.

User Cdroid
by
6.1k points