2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
Answer:
Step-by-step explanation: 6z=-2-10
6z= -12
z=-12/6
then z= -2
Pretty sure it's A. (X times .5 equals Y)
The total number of stickers :
Page 1 : 28
Page 2 : 24
Page 3 : 72
Page 4 : 48
<h3>Further explanation
</h3>
There are several properties in integer multiplication operations
Multiplication between integers will produce integers too
a x b = b x a
ax (bxc) = (axb) xc
ax1 = 1 x a = a
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
We can use facts to solve multiplication problems
for example :
6 x 7 = (5 x 7) + ( 1 x 7) = 42
we can break facts with 6 into 5s and 1s facts from multiplication above
julia puts her stickers into arrays in an album
From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts
- Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
- Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
- Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
- Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48
<h3>Learn more</h3>
the multiplicative identity property
brainly.com/question/4238982
Keywords : stickers, arrays, album, page, Julia
#LearnWithBrainly
If you get 0 as the last value in the bottom row, then the binomial is a factor of the dividend.
Let's say the binomial is of the form (x-k) and it multiplies with some other polynomial q(x) to get p(x), so,
p(x) = (x-k)*q(x)
If you plug in x = k, then,
p(k) = (k-k)*q(k)
p(k) = 0
The input x = k leads to the output y = 0. Therefore, if (x-k) is a factor of p(x), then x = k is a root of p(x).
It turns out that the last value in the bottom row of a synthetic division table is the remainder after long division. By the remainder theorem, p(k) = r where r is the remainder after dividing p(x) by (x-k). If r = 0, then (x-k) is a factor, p(k) = 0, and x = k is a root.