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3 years ago

What is the result when 2x^3 -9x^2 +11x-6 is divided by x-3 ? show the work?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Step-by-step explanation:

2x^3 -9x^2 +11x-6 divided by x-3

We use long division

2x^2 - 3x + 2

------------------------------

x - 3 2x^3 - 9x^2 + 11x - 6

2x^3 - 6x^2

--------------------------------------(subtract)

-3x^2 + 11x

-3x^2 + 9 x

----------------------------------------(subtract)

2x - 6

-----------------------------(subtract)

Quotient : 2x^2 - 3x + 2

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<h3>Answer : y = ⅚x - 3</h3>

════════════════════

<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

<h3>Question</h3>

Equation of the line (y = mx + c)

════════════════════

#First, you find the gradient (m)

$m = \frac{y2 - y1}{x2 - x1} = \frac{(( - 8) - 2)}{(( - 6) - 6)} = \frac{( - 10)}{( - 12)} = \frac{5}{6}$

#Now use the formula of equation of the line

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