What is (5x^2-17x+6)/(3-x) ?

The solution to (5x^2-17x+6)/(3-x) is -5x+2

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simplify (5x^2-17x+6)/(3-x)

simplify

\frac{5 x ^{2} - 17 x + 6}{3 - x}

- 5 x + 2

Solution steps

\frac{5 x ^{2} - 17 x + 6}{3 - x}

Factor

5 x^{2} - 17 x + 6 : (5 x - 2) (x - 3)

= \frac{( 5 x - 2 ) ( x - 3 )}{3 - x}

3 - x = - (x - 3)

= \frac{( 5 x - 2 ) ( x - 3 )}{- ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{5 x - 2}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (5 x - 2)

Simplify

- (5 x - 2) : - 5 x + 2

= - 5 x + 2

18 x^{2} + 4 - [6 (x^{2} - 2) + 5]

3 x^{2} - 300

3 x^{2} - 243

(x + 7)^{2} - 2 (x + 7) - 1

(a + b + c)^{0}