Identify the least common multiple of x^2 − 10x + 21 and x^2 − 5x − 14.

Step-by-step explanation:

To answer this question we factor the expressions.

For

We are looking for 2 numbers that add up and give as a result -10 and when they multiply they give as a result 21.

These numbers are -7 and -3.

Then

For

We are looking for 2 numbers that add up and give as a result -5 and when they multiply they give as a result -14.

These numbers are -7 and 2.

Then

Finally the minimum common multiple is the common and not common factors with its greatest exponent

1/5^2 = 7.56/45