Practice the worksheet on L.C.M. of polynomials. The questions are based on finding the lowest common multiple of two or more polynomials.
We know, to find the lowest common multiple (L.C.M.) of two or more than two polynomials is the polynomial of lowest measures (or dimensions) which is divisible by each of the polynomials without remainder.
For example:The lowest common multiple of 3m^{2} + 9mn, 2m^{3} – 18mn^{2} and m^{3} + 6m^{2}n + 9mn^{2}1. Find the lowest common multiple (L.C.M.) of the two polynomials:
(i) m and m^{2} + m2. Find the lowest common multiple (L.C.M.) of the three polynomials:
(i) a^{2} – a – 6, a^{2} + a – 2 and a^{2} – 4a + 3Answers for the worksheet on L.C.M. of polynomials are given below to check the exact answers of the above questions.
Answers:
1. (i) m(1 + m)
(ii) n^{2}(n – 3)(v) p(p + 1) (p – 1)
(vi) xy(x + y)
(vii) pq(2p + 1) (2p – 1)
(viii) 6k(3k – 1)
(ix) a(a + 1) (a + 2)
(x) (d + 1) (d – 1) (d – 2)
2. (i) (a - 3) (a – 1) (a + 2)
(ii) (n + 2) (n – 2) (3n – 7)
(iii) 8x^{2}(2x – 3y)^{2} (8x^{3} – 27y^{3})8th Grade Math Practice
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