Question

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in
each of the following :
(i) p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2
(ii) p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x
(iii) p(x) = x⁴ – 5x + 6, g(x) = 2 – x²​

Answer 1

Step-by-step explanation:

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${\bigstar\Huge{\boxed{\tt {\color{red}{Question}}}}}\bigstar$

$\hookrightarrow$ Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in

each of the following :

(i) p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2.

(ii) p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x.

(iii) p(x) = x⁴ – 5x + 6, g(x) = 2 – x².

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${\bigstar\Huge{\boxed{\tt {\color{red}{Answer}}}}}\bigstar$

$\hookrightarrow$ 1). p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2.

$\hookrightarrow$ ● Quotient = x - 3.

$\hookrightarrow$ ● Remainder = 7x - 9.

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$\hookrightarrow$ 2). p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x.

$\hookrightarrow$ ● Quotient = x² + x - 3.

$\hookrightarrow$ ● Remainder = 8.

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$\hookrightarrow$ 3). p(x) = x⁴ – 5x + 6, g(x) = 2 – x².

$\hookrightarrow$ ● Quotient = -x² - 2.

$\hookrightarrow$ ● Remainder = -5x + 10.

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Answer 2

Answer:

sorry

Step-by-step explanation:

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