Home
Class 10
MATHS
In each of the following cases, use fact...

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not.
`p(x)= 3x^(4)+3x^(2)-4x-11 g(x)= x-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
g(x) is not factor of p(x)
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 4 FACTOR THEOREM AND FACTORIZATION (LONG ANSWER TYPE QUESTION- II)|2 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.1)|6 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 4 FACTOR THEOREM AND FACTORIZATION (MULTIPLE CHOICE QUESTION)|1 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

Similar Questions

Explore conceptually related problems

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= 3x^(3)+x^(2)-20x+12 g(x)= 3x-2

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= x^(3)-3x^(2)+6x-20 g(x)= x-2

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= 2x^(4)+x^(3)+4x^(2)-x-7 g(x)=x+2

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= 2x^(4)+3x^(3)-2x^(2)-9x-12, g(x)= x^(2)-3

Check whether 3 and -2 are the zeroes of the polynomial p(x) when p(x)=x^(2)-x-6 .

In the polynomial g(x)= x-2, q(x)= x^(2)-x+1 and r(x)= 4 find p(x)

Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4

Use the Factor Theorem to determine whether g (x) is a factor of p (x) in each of the following cases: (i) p(x) = 2x^3+x^2-2x-1,g(x) =x+1 (ii) p(x)=x^3+3x+1, g (x) =x+2 (iii) p(x) = x^3-4x^2+x+6,g(x)=x-3

The degree of polynomial p(x) = x^(2) - 3x + 4x^(3) - 6 is :

Examine whether x +2 is a factor of x ^(3) + 2x ^(2) + 3x +6