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

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

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

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

Step-by-step 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.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

answer:

125 yards

explanation:

75+50=125. that is my answer