What is the factor of k2 + k - 42

(k + 7) • (k - 6)

Step-by-step explanation:

Final result:

(k + 7) • (k - 6)

Reformatting the input:

Changes made to your input should not affect the solution:

(1) : "k2" was replaced by "k^2".

Step by step solution:

Step 1:

Trying to factor by splitting the middle term

1.1 Factoring k2+k-42

The first term is, k2 its coefficient is 1.

The middle term is, + k its coefficient is 1.

The last term, "the constant", is - 42

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 42 = - 42

Step-2 : Find two factors of - 42 whose sum equals the coefficient of the middle term, which is 1.

-42 + 1 = - 41

-21 + 2 = - 19

-14 + 3 = - 11

-7 + 6 = - 1

-6 + 7 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 6 and 7

k2 - 6k + 7k - 42

Step-4 : Add up the first 2 terms, pulling out like factors:

k • (k-6)

Add up the last 2 terms, pulling out common factors:

7 • (k-6)

Step-5 : Add up the four terms of step 4:

(k+7) • (k-6)

Which is the desired factorization

Final result:

(k + 7) • (k - 6)