Thursday, March 5, 2020

What is Standard Form

What is Standard Form Standard form in Algebra is the most accepted form of a particular formula or concept. In math, standard forms can be seen in most of the topics because it gives a particular format to follow while we are performing calculations on numbers. For instance, standard form of a number 450 in general is 450, but we can also rewrite this number in another form popularly known as scientific notation as, 4.50 * 102. Hence a standard form is considered to be the format, mostly preferred in common. Example 1: Write the given equation, y = 5 2x in the standard form. Given linear equation: y = 5 2x The standard form of a linear equation is: Ax + By = C, where A, B, and C are integers and A, B are not equal to 0. Writing the given equation in standard form, we get y = 5 2x == Add 2x on both sides. This gives: y + 2x = 5 also written as 2x + y = 5. Therefore the standard (or the general) form is 2x + y = 5. Example 2: Write the given equation x(x 3) = 4 in the standard form. Given equation: x(x 3) = 4 The standard form of a quadratic equation is: ax2 + bx + c = 0, where a, b, c are integers and a is not equal to 0. Writing the given equation in standard form, we get x (x 3) = 4 == x2 3x = 4 Subtracting 4 on both sides gives: x2 3x 4 = 0 Therefore the standard (or the general) form is x2 3x 4 = 0.

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