Question

apply the division algorithm to find the quatient and remainder on divide p(x) by g(x) , p(x)=x²- 3x²- 5x -3, g(x)=x-2​

Answer 1

Answer:

Quotient = x_1_7

Remainder = _17

Step-by-step explanation:

That's Ur answer

Answer 2

Correct Question:

Apply the division algorithm to find the quotient and remainder on division of p(x) by g(x), p(x) = x³ - 3x² - 5x - 3, g(x) = x² - 2

Answer:

❖ Quotient = (x - 3)

❖ Remainder = (-3x - 9)

Step-by-step explanation:

[Refer to the attachment for solution]

Verification:

→ g(x) = x² - 2

→ p(x) = x³ - 3x² - 5x - 3

$\fbox{\rm Divided = Divisor \times Quotient + Remainder}$

= x³ - 3x² - 5x - 3 = (x² - 2) (x - 3) + (-3x - 9)

= x³ - 3x² - 5x - 3 = x²(x - 3) - 2(x - 3) - 3x - 9

= x² - 3x² - 5x - 3 = x³ - 3x² - 2x + 6 - 3x - 9

= x³ - 3x² - 5x - 3 = x³ - 3x² - 5x - 3

Hence, Verified.

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