Home
Class 12
MATHS
Use factor theorem to factories the foll...

Use factor theorem to factories the following polynomials completely. `x^(3)-13x-12`

Text Solution

Verified by Experts

`x^(3)13x-12 :'x=-1"satisfies given expression"`
`rArr x+1" is a factor"`

`:. X^(3)-13x-12=(x+1)(x^(2)-x-12)`
`=(x-1)(x-4)(x+3)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS

    ALLEN |Exercise Exercise(O-1)|20 Videos

  • BASIC MATHS

    ALLEN |Exercise Exercise(S-1)|8 Videos

  • APPLICATION OF INTEGRALS

    ALLEN |Exercise All Questions|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN |Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Write the degree of each of the following polynomials : 5x^(3) + 4x^(2) + 7x

Find the zero of each of the following polynomials : p(x) = 3x + 5

State the degree of each the following polynomials : pi x^(3) + 5x^(5) + 7x^(2) - 12

Find the zero of each of the following polynomials : p(x) = -3x + 8

State the degree of each the following polynomials : 4x^(3) + 2x^(2) - 5x + 7

State the coefficient of x^(2) in each of the following polynomials : x^(3) + 3x^(2) + 3x +1

State the degree of each the following polynomials : sqrt(2)x^(2) -5x^(3) + 7x +(1)/(4)

State the coefficient of x^(2) in each of the following polynomials : -3x^(2) + 5x + 11

Determine which of the following polynomials has (x+1) a factor : x^(3) - x^(2) - (2+sqrt(2))x + sqrt(2)

State the coefficient of x^(2) in each of the following polynomials : x^(4) + 5x^(3) + pi x^(2) - 3x + 11