Advertisements
Advertisements
प्रश्न
Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD
21x2y, 35xy2
उत्तर
p(x) = 21x2y = 3 × 7 × x2 × y
g(x) = 35xy2 = 5 × 7 × x × y2
G.C.D = 7xy
L.C.M = 3 × 5 × 7x2 × y2
= 105x2y2
L.C.M × G.C.D = 105x2y2 × 7xy
= 735x3y3 ….(1)
p(x) × g(x) = 21x2y × 35xy2
= 735x3y3 ….(2)
From (1) and (2) we get
L.C.M × G.C.D. = p(x) × g(x)
APPEARS IN
संबंधित प्रश्न
Find the G.C.D. of the given polynomials
x4 + 3x3 – x – 3, x3 + x2 – 5x + 3
Find the G.C.D. of the given polynomials
3x4 + 6x3 – 12x2 – 24x, 4x4 + 14x3 + 8x2 – 8x
Find the L.C.M. of the given expressions
4x2y, 8x3y2
Find the L.C.M. of the given expressions
16m, – 12m2n2, 8n2
Find the L.C.M. of the given expressions
p2 – 3p + 2, p2 – 4
Find the L.C.M. of the given expressions
(2x2 – 3xy)2, (4x – 6y)3, (8x3 – 27y3)
Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD
(x2y + xy2), (x2 + xy)
Find the LCM pair of the following polynomials
x4 – 27a3x, (x – 3a)2 whose GCD is (x – 3a)
Given the LCM and GCD of the two polynomials p(x) and q(x) find the unknown polynomial in the following table
| LCM | GCD | p(x) | q(x) |
| a3 – 10a2 + 11a + 70 | a – 7 | a2 – 12a + 35 |
Find the GCD of the following by division algorithm
2x4 + 13x3 + 27x2 + 23x + 7, x3 + 3x2 + 3x + 1, x2 + 2x + 1
