Question

x³- 3x²+ 2x - 6 at x= 5,-2, 2/3 , root 3
​

Answer 1

Answer:

Hope it helps!! Mark this answer as brainliest if u found it useful and follow me for quick and accurate answers...

Explanation:

x³- 3x²+ 2x - 6

x=5

$(5) {}^{3} - 3(5) {}^{2} + 2(5) - 6 \\ \\ 125 - 75 + 10 - 6 \\ \\ 54$

x = -2

$( - 2 ){}^{3} - 3 { (- 2)}^{2} + 2( -2 ) - 6 \\ \\ - 8 - 12 - 4 - 6 \\ \\ - 30$

x=2/3

$( \frac{2}{3} ) {}^{3} - 3( \frac{2}{3} ) {}^{2} + 2( \frac{2}{3} ) - 6 \\ \\ \frac{8}{27} - 3( \frac{4}{9} ) + \frac{4}{3} - 6 \\ \\ \frac{8}{27} - \frac{12}{9} + \frac{4}{3} - 6 \\ \\ taking \: \: lcm \\ \\ \frac{8}{27} - \frac{12 \times 3}{9 \times 3} + \frac{4 \times 9}{3 \times 9} - \frac{6 \times 27}{1 \times 27} \\ \\ \frac{8}{27} - \frac{36}{27} + \frac{36}{27} - \frac{162}{27} \\ \\ \frac{8 - 162}{27} \\ \\ \frac{ - 154}{27}$

x = √3

$( \sqrt{3} ) {}^{3} - 3( \sqrt{3} ) {}^{2} + 2( \sqrt{3} ) - 6 \\ \\ 3 \sqrt{3} - 3(3) + 2 \sqrt{3} - 6 \\ \\ 5 \sqrt{ 3} - 9 - 6 \\ \\ 5 \sqrt{3} - 15$