Question

What is the coefficient of thefirst term of the quotient when 3x^2 -x^3 -3x +5 is divided by x-1-x^2? a. 1 b. -1 c. 2 d. -2 solve

Answer 1

Given :-

P(x) = -x³ + 3x² - 3x + 5

g(x) = - x² + x - 1

Here, we divide P(x) by g(x).

-x²+x-1) -x³ + 3x² - 3x + 5 ( x - 2

-x³ + x² - x

+ - +

______________________

2x² - 2x + 5

2x² - 2x + 2

- + -

_______________________

3

_______________________

q(x) = x - 2

r(x) = 3

Hence,

The co-efficient of first term of q(x) = 1.

Answer......