Question

Factorise 6x2 +17x+5​

Answer 1

Here is the answer

ANSWER

Let p(x)=6x

2

+17x+5 the term

6

5

can be written as many terms one would be (±

2

5

,±

3

1

),(±

6

5

,±1),...……....

Let p(

3

−1

)=0 then by factor theorem

3

−1

then the other will be;

6x

2

+17x+5=(2x+5)(3x+1)

Answer 2

Answer :-

6x^2 + 17x + 5

By middle term splitting,

According to that we need to find two numbers, p and q whose sum is 17 and product is 30 .

• So if we take numbers 6 and 5

so 6 + 5 = 11 and 6 * 5 = 30

The sum of 6 and 5 is not equals to 17 .

• Now, we take numbers 3 and 10

So, 3 + 10 = 13 and 3 * 10 = 30

The sum of 3 and 10 is not equals to 17.

• Now, we take numbers 2 and 15

So, 2 + 15 = 17 and 2 * 15 = 30

It satisfies the method of middle term splitting as its sum is equal to 17 and product is equals to 30 .

6x^2 + 2x + 15x + 5

2x( 3x + 1 ) + 5( 3x + 1 )

(2x + 5 ) ( 3x + 1 )

( 2x + 5) ( 3x + 1 ) is your answer mate