Advertisements
Advertisements
प्रश्न
Find the L.C.M. of the given expressions
p2 – 3p + 2, p2 – 4
Advertisements
उत्तर
P2 – 3p + 2 = p2 – 2p – p + 2
= p(p – 2) – 1 (p – 2)
= (p – 2) (p – 1)
p2 – 4 = p2 – 22 ...(using a2 – b2 = (a + b) (a – b)]
= (p + 2) (p – 2)
L.C.M. = (p – 2) (p + 2) (p – 1)
APPEARS IN
संबंधित प्रश्न
Find the G.C.D. of the given polynomials
x4 – 1, x3 – 11x2 + x – 11
Find the L.C.M. of the given expressions
16m, – 12m2n2, 8n2
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
21x2y, 35xy2
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
a2 + 4a – 12, a2 – 5a + 6 whose GCD is a – 2
Find the LCM pair of the following polynomials
x4 – 27a3x, (x – 3a)2 whose GCD is (x – 3a)
Find the GCD pair of the following polynomials
(x3 + y3), (x4 + x2y2 + y4) whose LCM is (x3 + y3) (x2 + xy + y2)
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) |
| (x4 – y4)(x4 + x2y2 + y2) | (x2 – y2) | (x4 – y4)(x2 + y2 – xy) |
If (x – 6) is the HCF of x2 – 2x – 24 and x2 – kx – 6 then the value of k is
