Question

Remove the fractional coefficient from the following equation.x⁴+3x²/10+13x/25+77÷1000​

Answer 1

★ Given :

equation = $x^4 + \frac{3}{10} x^2 + \frac{13}{25}x + \frac{77}{1000}$

★ To find :

Remove fractional coefficient from the equation.

★ Solution :

Coefficient of x² = 3/10

to remove the fraction from x² , we have to multiply whole equation with 10..

$\implies 10 \times \left(x^4 + \frac{3}{10}x^2 + \frac{13}{25}x + \frac{77}{1000}\right)$

$\implies 10x^4 + 3x^2 +\cancel{10} \times \frac{13}{\cancel{25}} x + 10 \times \frac{77}{1000}$

$\implies 10x^4 + 3x^2 + \frac{26}{5} x + \frac{77}{100}$

to remove fraction from coefficient of x we have to multiply 5 by the whole equation..

$\implies 5 \times \left(10x^4 + 3x^2 + \frac{26}{5} x + \frac{77}{100}\right)$

$\implies 50x^4 + 15x^2 + 26x + \frac{77}{20}$

To remove fractional coefficient from x⁰ or the constant term , we have to multiply whole equation by 20..

$\implies 20 \times \left(50x^4 + 15x^2 + 26x + \frac{77}{20}\right)$

$\purple{\leadsto 1000x^4 + 300x^2 + 520x + 77}$

Answer 2

Step-by-step explanation:

= (10*5*20) (x⁴+ 3x²/10 + 13x/25 + 77/1000)

= (1000) × (x⁴+ 3x²/10 + 13x/25 + 77/1000)

= 1000x⁴+300x²+520x+77