Answer:
3x² + x - 3
Step-by-step explanation:
The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division
Pretend the square root of the division symbol
-4 √ 3 12 1 -12
Quick note: We're dividing by -4 because we're dividing by x + 4
First bring down the 3
-4 √ 3 13 1 -12
3
Multiply it by 4 then bring add it to the next number
-4 √ 3 13 1 -12
-12
3 1
Add that number to the next one
-4 √ 3 13 1 -12
-12 -4
3 1 -3
Finally repeat the step for the last number
-4 √ 3 13 1 -12
3 -12 -4 +12
3 1 -3 0
Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on
3x² + 1x - 3
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
3
(9x−6)=14
(
2
3
)(9x)+(
2
3
)(−6)=14(Distribute)
6x+−4=14
6x−4=14
Step 2: Add 4 to both sides.
6x−4+4=14+4
6x=18
Step 3: Divide both sides by 6.
6x
6
=
18
6
x = 3
Hey There!
The answer to your problem is 
or 
both answers are correct!
<u>Step 1: Subtract x²+12 from both sides.</u>
−7x−(x²+12)=x²+12−(x²+12)
−x²−7x−12=0
<u>Step 2: Factor left side of equation.</u>
<u>Step 3: Set factors equal to 0.</u>
or 
<u>Get your answer:</u>
or
The last option, the y-intercept.
