FINDING GCD OF POLYNOMIALS BY LONG DIVISION WORKSHEET

If f (x) and g(x) are two polynomials of same degree then the polynomial carrying the highest coefficient will be the dividend.

In case, if both have the same coefficient then compare the next least degree’s coefficient and proceed with the division.

If r (x) = 0 when f(x) is divided by g(x) then g(x) is called GCD of the polynomials.

(1)  Find the GCD of the given polynomials

(i) x4 + 3x3 −x −3, x3 +x2 −5x + 3         Solution

(ii) x4  - 1,  x3 - 11x2 + x - 11     Solution

(iii) 3x4 + 6x3 −12x2 −24x, 4x4 +14x3 + 8x2 −8x     Solution

(iv)  3x3 + 3x2 + 3x + 3 , 6x3 +12x2 + 6x +12       Solution

(2)  Find the LCM of the given expressions.

(i)  4x2y, 8x3y2               Solution

(ii)  -9a3b2, 12a2b2c             Solution

(iii)  16m, -12m2n2, 8n2             Solution

(iv) p2 − 3p +2, p2 - 4             Solution

(v)  2x2 - 5x -3, 4x2 -36             Solution

(vi) (2x2 -3xy)2, (4x -6y)3, 8x3 -27y3             Solution

Apart from the stuff given aboveif you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Problems on Finding Derivative of a Function

    Mar 29, 24 12:11 AM

    Problems on Finding Derivative of a Function

    Read More

  2. How to Solve Age Problems with Ratio

    Mar 28, 24 02:01 AM

    How to Solve Age Problems with Ratio

    Read More

  3. AP Calculus BC Integration of Rational Functions by Partical Fractions

    Mar 26, 24 11:25 PM

    AP Calculus BC Integration of Rational Functions by Partical Fractions (Part - 1)

    Read More