Question

Factor Completely: x²-x-42

Answer 1

Answer: (x-7)(x+6)

Step-by-step explanation:

plz mark brainliest

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -1

Multiply together to get -42

Can you think of the two numbers?

Try 6 and -7:

6+-7 = -1

6*-7 = -42

Fill in the blanks in

(x+_)(x+_)

with 6 and -7 to get...

(x+6)(x-7)

Answer 2

Answer:

The answer to your question is:  (x - 7)(x + 6)

Step-by-step explanation:

                                            x²  -  x  - 42

Find the prime factors of 42

               42    2

               21     3

                 7    7

                 1                  42 = 2 x 3 x 7

Then                    -7 + 6 = -1    and    (-7)(6) = -42

                                     ( x - 7)(x + 6) = 0