Home
Class 9
MATHS
Using factor theorem, factorize the poly...

Using factor theorem, factorize the polynomial
`x^4-2x^3-13 x^2+14 x+24`

Text Solution

AI Generated Solution

To factor the polynomial \( f(x) = x^4 - 2x^3 - 13x^2 + 14x + 24 \) using the factor theorem, we will follow these steps: ### Step 1: Identify the polynomial Let \( f(x) = x^4 - 2x^3 - 13x^2 + 14x + 24 \). ### Step 2: Use the Factor Theorem The factor theorem states that if \( x - a \) is a factor of \( f(x) \), then \( f(a) = 0 \). We will test some rational roots to find factors. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos
  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Using factor theorem,factorize the polynomial x^(4)+x^(3)-7x^(2)-x+6

Using factor theorem; factorize the polynomial x^(3)-6x^(2)+11x-6

Using factor theorem,factorize the polynomial x^(3)-6x^(2)+11x-6

Using factor theorem,factorise the polynomial x^(3)+x^(2)-4x-4

Using factor theorem, factorize the following polynomial : x^4+10x^3+35x^2+50x+24

Using factor theorem,factorize each of the following polynomials: x^(3)+13x^(2)+32x+20

Using factor theorem,factorize each of the following polynomials: x^(4)-2x^(3)-7x^(2)+8x+12

Using factor theorem,factorize each of the following polynomials: x^(3)-10x^(2)-53x-42

Using factor theorem,factorize each of the following polynomials: 2x^(4)-7x^(3)-13x^(2)+63x-45

Using factor theorem,factorize each of the following polynomials: 3x^(3)-x^(2)-3x+1