Question

(x3 -9x2 +26x -24 ) by (x-4​

Answer 1

Answer:

here is your answer....

Step-by-step explanation:

(x³ - 9x² + 26x - 24) by (x - 4)

quotient = x² - 5x + 6

reminder = 0

Answer 2

Answer:

The quotient is $x^2-5x+6$ and remainder is $0$.

Step-by-step explanation:

Consider the dividend as follows:

$x^3-9x^2+26x-24$ ...... (1)

We need to divide the polynomial $x^3-9x^2+26x-24$ by $x-4$.

⇒ $(x-4)$ is one of the factor of the given polynomial (1).

Rewrite the polynomial (1) as follows:

⇒ $x^3-4x^2-5x^2+20x+6x-24$

⇒ $(x^3-4x^2)-(5x^2-20x)+(6x-24)$

⇒ $x^2(x-4)-5x(x-4)+6(x-4)$

⇒ $(x-4)(x^2-5x+6)$

Thus, polynomial (1) can be written as follows:

$x^3-9x^2+26x-24=(x-4)(x^2-5x+6)$

By divisional algorithm, we can conclude that

Dividend = $x^3-9x^2+26x-24$,  divisor = $x-4$

Quotient = $x^2-5x+6$  and remainder = $0$.

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