Question

determine the remainder (without actual division) when the polynomial is P(X) x⁴-3x²+2x-5 is divided by g(X) x-2​

Answer 1

Answer:

3

Step-by-step explanation:

if you wonder how in the second step I wrote g(2)

this is the reason

g(x)=>x-2=0

=>x=2

Answer 2

Answer:

Quotient = x³+2x²+x+4

Remainder = 3.

Step-by-step explanation:

Given,

p(x) = x⁴-3x²+2x-5

g(x) = x-2

Now consider,

x-2) x⁴ + 0x³ - 3x² + 2x - 5 (x³ + 2x² + x + 4

x⁴ - 2x³

(-) (+)

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2x³ - 3x²

2x³ - 4x²

(-) (+)

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1x² + 2x

1x² - 2x

(-) (+)

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4x - 5

4x - 8

(-) (+)

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3

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