factorize this equation step by step Question factorize this equation step by step in progress 0 Math Kylie 1 month 2021-09-10T17:41:12+00:00 2021-09-10T17:41:12+00:00 2 Answers 0 views 0

## Answers ( )

Answer:x^2 = 11x – 28 , in this two solutions can be found, x = 7 and x = 4

Method:

First, by rearranging the equation by subtracting what is to the right of the equal sign from both sides of the equarion:

x^2 – 11*x – (-28) = 0

STEP BY STEP SOLUTION:

Factoring x^2 – 11x + 28

The first you see is, x^2 it’s coefficient is 1.

The middle term is, – 11x it’s coefficient is – 11.

The last term, “the constant”, is + 28.

Step-1: Multiply the coefficient of the first term by the constant, that is,

Step-2: Find two factors of 28 whose sum equal the coefficient number of the middle term, which should – 11.

That’s it!!

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, – 7 and – 4.

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

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

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

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Hope it helps you ❤️