Question

1. Find the least common multiple of x² + x-12 and x² + 2x - 15

Answer 1

Least Common Multiple = (x-3) (x+5) (x+4)

Explanation:

First we solve for x² + x-12

• Factorise

=> x² + 4x - 3x - 12

• Taking common

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

• Factorise

=> x² + 5x - 3x - 15

• Taking common

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)