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8th grade?? math problem answer please?
Which of the following could represent one of the factors of the expression 5h^2+17h-12?
A. (h+4)
B. (5h+3)
C. (h-3)
D. (5h+4)
(explain your answer plz)
6 Answers
- 8 years ago
You need to crunch the possible solutions:
If its A (h+4), the only possible other factor would be (5h-3). That solution works. Do the math by multiplying (h+4) X (5h-3). You get 5h^2+17h-12.
We only need to stop there...but to make my point.
If its B (5h+3), the only other factor would be (h-4)...that gives 5h^2-17h-12
...and so on for C, D.
The trick is to look at the first set of numbers in the polynomial (5h^2). That gives you the first clue.
Then look at the last expression (-12). Then quickly crunch the multiplication to get the middle part and see if it matches (+17h)
- 8 years ago
5h^2+17h-12 = (h+4)(5h-3)
Ah^2+Bh-C
To find factors, multiply A and C = 60
Find two numbers that multiply to 60 but add up to B (which is 17)
12*5 = 60
12+5 = 17
Answer: A
- ?Lv 58 years ago
Factoring this one is messy...
There's only one way to factor 5.
(5h )(h )
12 is negative so one factor will be positive and one will be negative
let's try 4 and 3 (to be honest, this is a bit of experience or trial and error and realizing you need a big positive number)
5*4=20-3=17
the 4 is positive and 3 is negative
(5h-3)(h+4)
the only match is A
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- 8 years ago
Other people are simply factoring the quadratic, which I don't think is the point of this problem.
By the factor theorem, any factor of the quadratic is a root.
A) 5(-4)^2+17(-4)-12 =0 , so this is a factor.
B) 5(-3/5)^2+17(-3/5)-12 /=/0
C) 5(3)^2+17(3)-12 /=/0
D) 5(-4/5)^2+17(-4/5)-12/=/0
So A) is the answer.
- yellLv 45 years ago
All you ought to do is to function your words. Ex. the ordered pair is (3,2). you ought to work out if this is a answer. a million. x+y=5 3+2=5 upload your x and y 5=5 hence #a million is definite. 2. 2x-y=4 2*3-2=4 upload your x and y 6-2=4 4=4 Therfore #2 is a answer. as long as your numbers adventure up, this is a answer. in the event that they do no longer, they are not.