Question

$use \: reminder \: theorem \\ p(x) = {x}^{3} - {2x}^{2} + 5x - 1 \\ q(x) = x - 2$
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Answer 1

Heya❤

Refer the attachment for ur answer;

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Answer 2

Answer :-

Given

p(x) = x³ - 2x² + 5x - 1

q(x) = x - 2

To solve the above's problem we have to use reminder theorem .

Step 1 :- Equating q(x) = 0

→ x - 2 = 0

→ x = 2

Step 2 :- Putting value of x = 2 in p(x)

p(2) = 2³ - 2(2)² + 5(2) - 1

p(2) = 8 - 2(4) + 10 - 1

p(2) = 8 - 8 + 10 - 1

p(2) = (8 + 10) - ( 8 + 1)

p(2) = 18 - 9

p(2) = 9

So reminder when p(x) is divided by q(x) = 9