The correct answer for the question that is being presented above is this one: "B. 6/19." Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last year. There were 19 students in the sample.
x^2 - 4
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x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
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0 - 4x - 28
-4x - 28
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0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
Answer:
B and C
Step-by-step explanation:
I must assume that by "15x2 - 44x - 36" you actually meant "<span>15x^2 - 44x - 36." Use " ^ " to denote exponentiation, please.
One by one, take each of the following sets of possible factors and mult. them out to determine whether the result equals </span>15x^2 - 44x - 36:
<span>
(5x - 9)(3x + 4)
(3x - 4)(5x + 9)
(5x - 18)(3x + 2)
(5x + 18)(3x - 2)
First one: use the "foil" method: (5x)(3x) + 20x - 27x - 36. This does not simplify to </span>15x^2 - 44x - 36 and so is not the correct choice. Go on to the second answer choice and continue this check.