Which of the following is a factor of x2 – 8x – 48?
What are the factors given?
x – 8 x + 4 x – 6 None of the above
Oh I was misunderstanding what it was asking. The answer choices are simply one of the two factors needed here, so we need to figure out which one, when paired with the other factor, is correct. So to do that, we need to factorize this ourselves. Do you know how to use the factorization shortcut?
x+4 ?
Well you got the answer, but just to make sure you understand, what's the other factor?
-4
No I mean what is the other quantity that when multiplied by (x+4) equals the original equation?
2
Hmm, I don't think you're understanding then. We need another (x+/-C) quantity, where C is a constant. Remember that the two constants (4 and C) must multiply out to -48 and add up to -8. What C would be able to do that?
-4
Does that really work? Try it again.
idk
What number, when multiplied by 4, gives you -48?
-12
Yep, it's negative 12
Even though all we can use that for is to confirm that B is the right answer.
Classify the expression 6a3 – 7a2 + a + 2 as a monomial, binomial, trinomial or polynomial.
The "mono", "bi", "tri", and "poly" are describing what the highest degree of x there is. Since a polynomial is any function where the power is greater than 1, it will be a polynomial. But it's highest power is 3, so it is also a trinomial. I would say trinomial since it is more specific.
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