Question

on dividing x cube + 5 x square + 8 x + 2 by a polynomial GX the quotient and remainder were X square + 4 x + 3 and x minus 1 respectively find Gx​

Answer 1

Answer:

Step-by-step explanation:

let p(x)=x^3-8x^2+20x-10.

g(x) be the divisor.

q(x)=x-4. [quotient]

r(x)=6. [remainder]

AS WE KNOW THAT,

Dividend=divisor×quotient+,remainder.

=> p(x)=g(x)×(x-4)+6

=>(x^3-8x^2+20x-10-6)÷(x-4)=g(x)

=>x^2- 4x + 4 = g(x)

Hence,g(x)=x^2- 4x + 4.

Answer 2

Step-by-step explanation:

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