Question

factorise 10x^2 + 17x + 3​

Answer 1

Answer:

$\bullet\large\textsf{(2x+3) (5x + 1) }$

Step-by-step explanation:

$\mapsto$10x² + 17x + 3

We need coefficient 1 of the first term, so we have to multiply the first term "10" with "3" which is equals to 30.

Now, the factors of 30 can be 6 and 5 or 15 and 2. So, 15 and 2 makes 30 and on addition it makes 17.

$\mapsto$10x² + 2x + 15x + 3

$\mapsto$2x(5x + 1) + 3(5x + 1)

$\bold\mapsto$(2x + 3)(5x + 1)

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Answer 2

$\bf\huge\underline{Question}$

factorise 10x^2 + 17x + 3

$\bf\huge\underline{Solution}$

10x² + 17x + 3

=> 10x² + 2x + 15x + 3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀[by splitting middle term]

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

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