Question

1 Factorise: 6x2 + 17x + 5.
o(3x+1)(2x-5)
O (3x+1)(2x+5)
o(3x-1)(2x+5)
O (3x-1)(2x-5)​

Answer 1

Answer:

To find :-

6x^2 + 17x + 5

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

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

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

Explanation :-

Step 1.

find the factor of multiply of

(6x^2 × 5 = 30x^2 ) .

Step 2.

30x^2 = (x) (30x)

= (2x)(15x)

=(3x)(10x)

=(5x)(6x)

Step 3.

Sum of factor should be 17x

x + 30 x = 31 x which is not equal to 17x

2x + 15 x = 17x which is equal to 17x

hence this factor is appropriate factor.

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