Question

If x4 + 3x2 - 7 is divided by 3x + 5 then the possible degrees of quotient and remainder are Select one: a. 3,1 b. 4,1 c. 4,0 d. 3,0

Answer 1

Given :

Given function is :

f(x) =$x^4 + 3x^2 - 7$

f(x) is divided by :

g(x) = 3x + 5

To Find :

On this division , what is the possible degrees of quotient and remainder ?

Solution :

On dividing $x^4 + 3x^2 - 7$ by 3x + 5 , using long division method , we get :

Quotient =$\frac{x^3}{3} -\frac{5x^2}{9} + \frac{2x}{27}$ and remainder =$\frac{-10x}{27} - 7$

Hence , option (A) is correct answer i.e. degree of quotient is 3 and degree of remainder is 1 .

Answer 2

Answer:

(a) 3,1

Step-by-step explanation: