Answer:
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<h3><u>4(2x^2 + 3x + 12)</u></h3>
We can factor a 4 out of this expression.
4(2x^2 + 3x + 12)
Now that the expression is simplified, we can see if splitting the middle term is possible.
<em><u>Display factors of 24.</u></em>
1 * 24
-1 * - 24
2 * 12
-2 * -12
3 * 8
-3 * - 8
4 * 6
-4 * -6
All factors of 24 have been listed, and none of these digits satisfy the criteria.
Trinomial cannot be further factored.
Answer:
y = -
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y =
x +
← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = -
+ c ⇒ c = - 2 +
= 
y = -
x +
← equation of perpendicular line
Step-by-step explanation:

Step-by-step explanation:
the answer is in the picture