Standard Form Math - Online Math Tutoring

Standard Form Math - Online Math Tutoring 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