Question

Which is the factored form of 3a2 - 24a + 48?а. (За — 8)(а — 6)b. 3a - 4)(a 4)c. (3a - 16)(a − 3)d. 3( -8)(a -8)

Answer 1

Ok, so:

We're going to factor this expression:

3a² - 24a + 48

First of all, we multiply and divide by 3 all the expression, like this:

3(3a² - 24a + 48) / 3

Now, we can rewrite this to a new form:

( (3a)² - 24(3a) + 144) / 3

Then, we have to find two numbers, whose sum is equal to -24 and its multiplication is 144.

And also we distribute:

((3a - 12 ) ( 3a - 12 )) / 3

Notice that the numbers we're going to find should be inside the brackets.

So, these numbers are -12 and -12.

Now, we factor the number 3 in the expression:

(3(a-4)*3(a-4))/3

And we can cancel one "3".

Therefore, the factored form will be: 3 (a - 4) (a - 4)

So, the answer is B.