Home
Class 10
MATHS
Without actual division, show that f(x) ...

Without actual division, show that `f(x) = 2x^(4) - 6x^(3) + 3x^(2) + 3x - 2` is exactly divisible by `x^(2)- 3x + 2`.

Text Solution

Verified by Experts

The correct Answer is:
f(x) is exactly divisible by g(x)
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 3 REMAINDER THEOREM (LONG ANSWER TYPE QUESTION- II)|1 Videos

  • POLYNOMIALS

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

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 3 REMAINDER THEOREM ( SHORT ANSWER TYPE QUESTION)|6 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

If f(x) = x^(3) + x^(2) - ax + b is divisible by x^(2) - x , find values of a and b .

What must be (a) subtracted from (b) added to f(x) = 8x^(4) + 14 x^(3) - 2x^(2) + 7 x - 8 so that resulting polynomial is exactly divisible by 4x^(2) + 3x - 2 ?

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the polynomial is exactly divisible by g(x) = x^(2) +2x - 3 ?

If the polynomial f(x)= 3x^(4)+3x^(3)-11x^(2)-5x+10 is completely divisible by 3x^(2)-5 find all its zeroes

What must be added to the polynomial P(x)= x^(4)+2x^(3)-2x^(2)+x-1 So that the resulting polynomial is excatly divisible by x^(2)+x-3

We must be added to 2x^(3)+3x^(2)-22x+12 so that the result is exactly divisible by 2x^(2)+5x-14

If f(x) = 2x^3 + 3x^2 + 11x + 6 , then f(1) is :

Let f(x)=x^(3)+(3)/(2) x^(2)+3x+3 , then f(x) is :

Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^(2) - 3x +2 or not ? How can you verify using Factor Theorem ?