Practice the questions given in the worksheet on H.C.F. and L.C.M. of polynomials. The questions are based on finding the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two or more than two polynomials.
1. Find the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of the two polynomials:
(i) a^{3} + 2a^{2} – 3a and 2a^{3} + 5a^{2} – 3a2. Find the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of the three polynomials:
(i) 3m^{2} – 7m^{2}n + 5mn^{2} – n^{3}, m^{2}n + 3mn^{2} – 3m^{3} – n^{3} and 3m^{3} + 5m^{2}n + mn^{2} – n^{3}Answers for the worksheet on H.C.F. and L.C.M. of polynomials are given below to check the exact answers of the above questions.
Answers:
1. (i) H.C.F = a(a + 3)
L.C.M. = a(a – 1) (a + 3) (2a – 1)
(ii) H.C.F = 2u – 3v
L.C.M. = u(2u + 3v)(2u – 3v)
(iii) H.C.F = 2u + 5v
L.C.M. = 3u(2u + 5v) (2u – 5v)
(iv) H.C.F = m + 4
L.C.M. = (m + 4) (m + 5) (m + 9)
(v) H.C.F = k + 5
L.C.M. = (k + 5) (k – 3) (k + 1/5)
2. (i) H.C.F = 3m  n
L.C.M. = (3m – n) (m + n)^{2} (  n)^{2}(ii) H.C.F = a  2
L.C.M. = (a + 1)^{2} (a + 2) (a – 2) (a – 3)(iii) H.C.F = 1
L.C.M. = (t + 4) (t + 1) (t  1)
(iv) H.C.F = p + 6
L.C.M. = (p + 2) (p + 6) (p + 9) (p  4)
(v) H.C.F = d + 8
L.C.M. = d(d + 8) (d + 7) (d  3)
3. (kx + y) (kx – y) (ky + x)
4. pq(p – m) (q – n) (q – 2n)
`8th Grade Math Practice
From Worksheet on H.C.F. and L.C.M. of Polynomials to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.