If polynomial px-x2-5x-7 is divided by g- the q- and r- are - - 3 and 1- respectively- Find g-

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If polynomial $p (x) = x^{2} - 5 x + 7$ is divided by g(𝑥), the q(𝑥) and r(𝑥) are 𝑥 - 3 and 1, respectively. Find g(𝑥).

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x + 3

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x - 3

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x - 2

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Question 1 (i)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

$p (x) = x^{3} - 3 x^{2} + 5 x - 3, g (x) = x^{2} - 2$

p (x)

x^{2} + 3 x + 5

2 x^{2} + x + 1

x = 3

P (x)

x + 3

2 x + 1

p (x)

g (x)

p (x) = x^{3} - 3 x^{2} + 5 x - 3

g (x) = x^{2} - 2

p (x)

(x - 1 - x^{2})

(x - 2)

3

p (x)

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