Question

Factorise
2x3 + 3 x2 - 17 x - 30

Answer 1

The answer is 18/17 or whole 1/17.

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Answer 2

Given,

2x³ + 3x² - 17x - 30

To Find,

The factorisation of the given problem by finding x.

Solution,

The given mathematical problem can be solved by factorisation by breaking the numbers to form an expression.

⇒ 2x³ −3x² −17x + 30

We will break 2 numbers which are -3x² and -17x.

⇒ -3x² = 2x² - 5x²

⇒ -17x = -12x - 5x

Now, we can substitute the new numbers in place of 3x² and -17x.

⇒ 2x³ + 2x² - 5x² − 12x − 5x + 30

⇒ 2x³+ 2x² − 12x− 5x²− 5x+ 30

⇒ 2x(x²+x−6)−5(x+x−6)

⇒ (x²+x−6) (2x−5)

⇒ (x²+3x−2x−6) (2x−5)

⇒ [x(x+3)−2(x+3)] (2x−5)

⇒ (x+3) (x−2) (2x−5)

Hence, after factorisation the answer is (x+3) (x−2) (2x−5).