Question

 (5x³ - 17x² + 14x) ÷ (x - 2) ​

Answer 1

Answer:

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Answer 2

Given,

An algebraic expression: (5x³ - 17x² + 14x) ÷ (x - 2) 

To find,

The simplified value of the given expression.

Solution,

We can simply solve this mathematical problem using the following process:

On simplifying the given algebraic expression, we get;

(5x³ - 17x² + 14x) ÷ (x - 2)

= (x)(5x² - 17x + 14) ÷ (x - 2)

= x/(x-2) × (5x² - 17x + 14)

= x/(x-2) × (5x² - 10x - 7x + 14)

{simplified by using the "splitting the middle term" method}

= x/(x-2) × {5x(x - 2) - 7(x - 2)}

= x/(x-2) × (x - 2)(5x - 7)

= x(5x-7)

Hence, the simplified value of the given expression (5x³ - 17x² + 14x) ÷ (x - 2) is equal to x(5x-7).