What is the quotient of (x3+3x2-4x-12)/(x2+5x+6)
2 answers:
Answer:
Quotient is x - 2.
Step-by-step explanation:
Given: Dividend = x³ + 3x² - 4x - 12
Divisor = x² + 5x + 6
To find: Quotient of the division.
First factor we get while dividing given polynomial = x as x × x² gives highest degree term of dividend.
After this step we get -2x² - 10x - 12 as remainder.
Now next factor is -2 becuase -2 × x² gives -2x²
Doing this step we get 0 as remainder.
Long Division is attached in pic.
after Division, we get
Quotient = x - 2
and Remainder = 0 .
Therefore, Quotient is x - 2.
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Answer:
y = -x - 8
Step-by-step explanation:
First, calculate the slope:
m =
(x₁, y₁) will be (8, -16)
(x₂, y₂) will be (6, -14)
Plug in values:
m =
simplify:
m =
m = -1
plug values into y = mx + b:
-16 = (-1)(8) + b
solve for b:
b - 8 = -16
b = -8
rewrite the equation:
y = -1x - 8
y = -x - 8