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
Answers
Answered by
13
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.
Attachments:
anita396:
from where x-4 come
Answered by
0
Step-by-step explanation:
ifksphbbbbnbnn nnmlllkjhggbbhjhhgghhuiiiiugffhhjjfffhj
Similar questions
Accountancy,
6 months ago
Social Sciences,
6 months ago
Math,
6 months ago
English,
1 year ago
Math,
1 year ago
Math,
1 year ago
Geography,
1 year ago