Home
Class 12
MATHS
Find the remainder when x^(3)-ax^(2)+...

Find the remainder when
`x^(3)-ax^(2)+6x-a` is divided by x - a

Text Solution

AI Generated Solution

To find the remainder when \( f(x) = x^3 - ax^2 + 6x - a \) is divided by \( x - a \), we can use the Remainder Theorem. According to the theorem, the remainder of the division of a polynomial \( f(x) \) by \( x - c \) is \( f(c) \). ### Step-by-Step Solution: 1. **Identify the Polynomial and the Divisor**: - The polynomial is \( f(x) = x^3 - ax^2 + 6x - a \). - The divisor is \( x - a \). ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS

    ALLEN|Exercise Exercise(O-1)|15 Videos

  • BASIC MATHS

    ALLEN|Exercise Exercise(S-1)|10 Videos

  • APPLICATION OF DERIVATIVES

    ALLEN|Exercise All Questions|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when x^3-a x^2+6x-a is divided by x-a .

Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Find the remainder when x^4+x^3-2x^2+x+1 is divided by x-1 .

Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.