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Ira Lisetskai [31]
3 years ago
6

9. [Factorisation] * Factorise x² + 3x + 4x + 12

Mathematics
2 answers:
Daniel [21]3 years ago
5 0

Answer:

Step-by-step explanation:

x² + 3x + 4x + 12 =x(x+3) +  4(x+3)=

(x+3)(x+4)

mojhsa [17]3 years ago
5 0

<u>Answer:</u>

The factorization of x^{2}+3 x+4 x+12 is (x+4)(x+3)

<u>Solution:</u>

Given Data:

x^{2}+3 x+4 x+12

To Find:

Factorise of the given data?

Step 1:

Grouping:

\left(x^{2}+3 x\right)(+4 x+12)

Step 2:

Factoring:

Quadratic has two parts.

\left(x^{2}+3 x\right)(+4 x+12)

We see that the first terms have an x in common, and the second terms have a 4 in common, so we can factor that out to get x(x+3)+4(x+3)  

Step 3:

We now see that both terms have an x+3 in common, so we can finally factor that out to get (x+3)(x+4)

hence the factorization of x^{2}+3 x+4 x+12 is (x+4)(x+3)

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