When asked to factor the trinomial 6x^2-18x+12, a student gives the answer (x-2)(x-1). What is one thing wrong with this answer?
2 answers:
Answer:
B. 6 is also a factor of this trinomial.
Step-by-step explanation:
We have been given a trinomial . A student gives the answer (x-2)(x-1).
To figure out student's mistake, let us factor our given trinomial by splitting the middle term.
Therefore, 6 is also a factor of our given trinomial and option B is the correct choice.
You might be interested in
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185