Question

gn="absmiddle" class="latex-formula">

Answer 1

Hello, Person!

What is $3n^{2} - 8n + 4?$

We will get to the point about what's the answer is.

${\huge{\underline{\bf{\pink{EXPLANATION :}}}}}$

The first term is, $3m^{2}$ its coefficient is 3.

The middle term is, $-8m$ its coefficient is -8.

The last term, "the constant", is $+4$

${\huge{\underline{\bf{\pink{STEP~1 :}}}}$

Multiply the coefficient of the first term by the constant $3$ • $4$ = $12$

${\huge{\underline{\bf{\pink{STEP~2:}}}}$

Find two factors of $12$ whose sum equals the coefficient of the middle term, which is $-8.$

$-12$ + $-1$ = $-13$

$-6$ + $-2$ = $-8$

${\huge{\underline{\bf{\pink{STEP~3:}}}}$

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, $-6$ and $-2$

$3m^{2} - 6m - 2m - 4.$-6m - 2m - 4

${\huge{\underline{\bf{\pink{STEP~4:}}}}$

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

$3m$ • $(m-2)$

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

$2$ • $(m-2)$

${\huge{\underline{\bf{\pink{STEP~5:}}}}$

Add up the four terms of step 4 :

$3m$ • $(m-2)$

Which is the desired factorization :

${\huge{\underline{\bf{\pink{Final~Result :}}}}$

${\huge{\underline{\bf{\pink{Answer:}}}}$

$(m-2)$ • $(3m-2)$

Hope It Helped!

And tell me if The answer is wrong. . .

Good Luck With Your Assignment!

#LearnWithBrainly

Jace ^-^

Answer 2

$Hello$ $There!$

Here's a explanation!

Factor:

$3n^2-8n+4$

$3n^2-8n+4$

$= (3n-2)(n-2)$

$ANSWER!$

$(3n-2(n-2)$

Hopefully, this helps you!

$AnimeVines$