Question

The HCF Oof two polynomials x2 -5x+6 and x2-7x+12 is x-3. Find the LCM of the polynomials

Answer 1

Answer:

$(x - 2)(x - 3)(x - 4)$

Step-by-step explanation:

$lcm = \frac{( {x}^{2} - 5x + 6)( {x}^{2} - 7x + 12)}{hcf} \\ \\ = \frac{ (x - 3)(x - 2)(x - 4)(x - 3)}{( x - 3)} \\ \\ = (x - 2)(x - 3)(x - 4)$

Answer 2

Answer:

x^3 -9x^2+26x-24

Step-by-step explanation:

LCM= first polynomial ×second polynomial ÷ HCF

=(x^2-5x+6)(x^2-7x+12)÷x-3

= (x^2-5x+6)(x-4)=x^3-9x^2+26x-24