Standard Form Math

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Standard form in math is the way to represent the decimal number, expression, linear equation, quadratic equation, polynomials, conic sections etc in a standard form by using an expression or an equation.
 
We can easily identify the figures or curve with the help of standard form.
 
Few examples of standard form in math: -
·         Standard form of decimal number
          
Example: -Find the standard form of 1235600000000000000.
 
Solution: - Standard form of 1235600000000000000 is 1.2356 x 10 ^ 18
·         Standard form of a linear equation is ax+ by =c.
          
Example: - Represent this equation into a standard form of a line.
2(x-3) + 4(y+1)- 8=0
 
Solution: -
            2(x-3) + 4(y+1)- 8=0
Or,       2x- 6 + 4y +4 – 8 =0
Or,       2x + 4y -10 = 0
Or,       2x+ 4y = 10
Therefore the standard form of the given equation is 2x+ 4y = 10
Where a= 2, b= 4 and c=10
 
·         Standard form of a quadratic equation is ax^2 + bx + c = 0
         
Example: - Represent the following equation in standard form.
            (x - 1) ^2 + 5(2x + 5) =100
 
Solution: -
            (x - 1) ^2 + 5(2x + 5) =100
Or,       x^2 - 2x +1 + 10x +25 = 100
Or,       x^2 + 8x +26 =100
Or,       x^2 +8x + 26 – 100 =0
            x^2 + 8x – 74 = 0
Standard form of the given equation isx^2 + 8x – 74 = 0
Where a= 1, b = 8, c = -74

 
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