Question

11. The HCF of two expressions is 3x4 + 4x - 4 and
their LCM is 3x4 + 4x3 - 7x2 - 4x + 4. One of the
expressions is
(a) (x + 1) (3x² + 4x + 4) (b) (x - 1) (3x2 + 4x – 4)
(C) (x - 1) (3x2 + 4x + 4) (d) (x + 1) (3x2 + x - 4)
12. The HCF of two polynomials
p(x) = 4x²(x2 – 3x + 2) and q(x) = 12x(x - 2)
(x2 - 4) is 4x (x - 2). The LCM of polynomials is
(a) x2(x2 – 3x + 2)(x2 – 4)
(b) 12x2(x2 – 3x + 2)(x2 + 4)
(c) 4x(x-2)
(d) 12x2(x2 – 3x + 2)(x2 - 4)
any body solve these two question plzzz​

Answer 1

Answer:

LCM = 12x²(x² - 3x + 2)(x² - 4)

option D is correct

Step-by-step explanation:

The HCF of two polynomials  

p(x) = 4x²(x2 – 3x + 2) and q(x) = 12x(x - 2) (x2 - 4) is 4x (x - 2).

p(x) = 4x²(x² – 3x + 2)  = 4x²(x-1)(x-2) = (4x)(x)(x-1)(x-2)

q(x) = 12x(x - 2) (x²- 4) = (4x)(3)(x-2)(x+2)(x-2)

HCF = 4x (x - 2)

LCM =  p(x)q(x)/ HCF  

=> LCM =   (4x)(x)(x-1)(x-2)(4x)(3)(x-2)(x+2)(x-2) / 4x (x - 2)

=> LCM = x(x-1)(4x)(3)(x-2)(x+2)(x-2)

=> LCM = 12x²(x² - 3x + 2)(x² - 4)

option D is correct