The factorization of x2 + 3x - 4 is modeled with algebra
1 answer:
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Answer:
point-slope form
(standard form)
Let me know if you prefer another form.
Step-by-step explanation:
The slope of a line can be found using provided you are given two points on the line.
We are.
Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.
(4/5 , 1/5)
-( 1/2 , 3/2)
-----------------
3/10 -13/10
2nd/1st = is our slope.
So the following is point-slope form for a linear equaiton:
Plug in a point .
This gives:
I'm going to distribute:
Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:
Add 26x on both sides:
Add 9 on both sides:
This is actually standard form of a line.
It can be simplified though.
Divide both sides by 2:
(standard form)
Given:
The given expression is:
To find:
Part A: The expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely.
Solution:
Part A:
We have,
Taking out the highest common factor 3y, we get
Therefore, the required expression is .
Part B:
From part A, we have,
By grouping method, we get
Therefore, the required factored form of the given expression is .