Question

Factorize the following by splitting the middle term:

(a) 3x2 + 11x+30

Answer 1

Factorize$3*2+11x+30$ by splitting the middle term

Definition:

Factorize by splitting the middle term refers to dividing the middle term into two sub terms which when added or subtracted yields the middle term.

Evaluation:

Given expression $3*2+11x+30$ can be written as $6+11x+30$

Now we need to split the middle term into two sub terms which when added or subtracted yields the middle term and when multiplied yields the last term that is

$6+11x+30\\=6+6x+5x+(6*5)$

As we can see that the term $11x$ is splitted into $6x$ and $5x$ ,similarly when the constant terms are multiplied that yields the last term that is $6*5=30$

Now,we have take the common terms outside and place the uncommon terms inside the brackets.

$=6(1+x)+5(x+1)\\=6(x+1)+5(x+1)\\=(x+1)(6+5)\\=(x+1)*11\\=11(x+1)$

Therefore ,the factorization of $3*2+11x+30$ by splitting the middle terms yields $11(x+1)$.

Answer 2

Step-by-step explanation:

hopefully it will help you