Question

Factorize: 3x2 + 10x + 8
Prove that

Answer 1

Answer:

(

3

+

4

)

(

+

2

)

Step-by-step explanation:

3

2

+

1

0

+

8

3x^{2}+{\color{#c92786}{10x}}+8

3

2

+

6

+

4

+

8

Answer 2

Answer:

The factors are (3x+4) and (x+2)

Step-by-step explanation:

Here we have been given to factorize the following given polynomial:

$3x^{2} + 10x + 8$

Here we will use the method of mid-term splitting to find the value of the factors of the above-given polynomial as below:

$3x^{2} + 10x + 8$

Here we will split the middle term 10 into the sum of 6 and 4 as below:

= $3x^{2} + (6+4)x+8$

= $3x^{2} +6x+4x+8$

= $3x(x+2) + 4(x+2)$

= (3x+4)(x+2)

Hence the factors are (3x+4) and (x+2)