Trying to factor by splitting the middle term
Factoring <span> b2-4b+4</span>
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> -4 </span>.
<span><span> </span></span>
<span><span>-4 + -1 = -5</span><span> -2 + -2 = -4 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
<span>b2 - 2b</span> - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization
Divide the number & Multiply
<u>Expression Form</u>
(3-7)*n+5
n=Unknown Number
Answer:
3.7%
Step-by-step explanation:
We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:
![P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}](https://tex.z-dn.net/?f=P%3D%20%5Cfrac%7B1%7D%7B3%7D%2A%20%5Cfrac%7B1%7D%7B3%7D%2A%5Cfrac%7B1%7D%7B3%7D)
We get a probability of:
This converts to a percentage of:
![\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B27%7D%3D%200.037%20%5C%5C%200.037%2A100%3D%203.7%25)
We get a percentage of 3.7%