Question

what is x3−3x2−6x−2 divided by x+2

Answer 1

Answer:

The Answer is -10

Please mark it BRAINLIEST

Step-by-step explanation:

$x + 2 = 0 \\ x = - 0$

$p(x) = {x}^{3} - 3 {x}^{2} - 6x - 2$

Let's Substitute the value of x

$= > { (- 2)}^{3} - 3 {( - 2)}^{2} - 6( - 2)( - 2) \\ = > - 8 - 3(4) + 12 - 2 \\ = > - 8 - 12 + 12 - 2 \\ = > - 8 - 2 \\ = > - 10 \: answer$

Hence the answer is -10

Answer 2

Dividend = (x³ - 3x² - 6x - 2)

Divisor = (x + 2)

x + 2 ) x³ - 3x² - 6x - 2 ( x² - 5x + 4

– x³ + 2x²

-5x² - 6x - 2

– -5x² - 10x

4x - 2

– - 4x + 8

-10

Therefore,

• Quotient = x² - 5x + 4
• Remainder = -10

Verification :

Dividend = Divisor × Quotient + Remainder

x³ - 3x² - 6x - 2 = (x + 2)(x² - 5x - 4) - 10

x³ - 3x² - 6x - 2 = x³ - 5x² + 4x + 2x²-10x-2

x³ - 3x² - 6x - 2 = x³ - 3x² - 6x - 2

LHS = RHS

Hence verified