Question

Factorise : 6 x

2+17 x+5​

Answer 1

Answer:

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

Step-by-step explanation:

(As the question asked is not clear, I am assuming you meant:

Factorise:  $6x^2 + 17x + 5$)

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To factorise this expression, we have to use the below formula:

$(x+a)(x+b) = x^2 + x(a+b) + ab$

So, we need to find 2 numbers whose product is (6 * 5) 30 and sum is 17.

Clearly, the 2 numbers are 15 and 2.

Now, we will split the expression.

$6x^{2} + 2x + 15x + 5$    

⇒ $2x(3x + 1) + 5(3x + 1)$

⇒$(2x + 5)(3x + 1)$

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Hope it helps!