Factorize \( n^2 - 7n + 12 \).

Explain your answer.

n 2 − 7 n + 12 The best way to improve your skill factoring this trinomials is just to practice and practice again. So basically we need 2 numbers that multiply to 12 and that add up to -7. Using some intuition and some guess and check, we learn that the 2 numbers are -4 and -3. Putting them into 2 binomials, we get ( n − 4 ) ( n − 3 ) (n-4)(n-3)
Hope this helps. If you found this helpful, please consider making this the brainliest answer because I just need one more best answer to be virtuoso. Thanks!

Answered by MichaelLiu | 2024-06-10

n 2 − 7 n + 12 = 0 ( n − 4 ) ( n − 3 ) = 0 **if it equal 0 **
n 2 − 7 n + 12 = 0 ( n − 4 ) ( n − 3 ) = 0 n − 4 = 0 n = 4 n − 3 = 0 n = 3 x 1 ​ = 4 , x 2 ​ = 3

Answered by Sancak19o7 | 2024-06-10

The quadratic expression n 2 − 7 n + 12 can be factored into ( n − 3 ) ( n − 4 ) . This is achieved by finding two numbers that multiply to 12 and add to -7, which are -3 and -4. The correctness can be verified by expanding the factored form back to the original expression.
;

Answered by MichaelLiu | 2024-12-26