The factored form of an equation is the simplest form of the equation that is obtained by factoring out a common variable or constant from multiple terms. Many types of polynomials are presentable in factored form, but the more terms an equation contains, the more difficult it is to find common factors.
Know MoreTo put an equation in factored form, find the largest common factor. For the expression of 2*y+6 for example, the largest common factor is the constant 2. Factoring out the 2 yields a reduced expression of 2*(y+3), which would yield the original when expanded. Since there are no further factors, this expression is now in factored form.
Learn more about CalculusThe Bernoulli differential equation is y^t + p(x)y = q(x)y^n. On the interval being worked on, p(x) and q(x) are continuous functions, and n is a real number.
Full Answer >To calculate the discriminant of a quadratic equation, put the equation in standard form. Substitute the coefficients from the equation into the formula b^2-4ac. The value of the discriminant indicates what kind of solutions that particular quadratic equation possesses.
Full Answer >A person can consider a differential equation by determining an initial condition, as a differential equation is an equation that gives the derivative of an unknown function in terms of the function and the independent variable. A differential equation is considered differently depending on whether it is ordinary or partial and linear or non-linear.
Full Answer >Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tangent line requires a knowledge of calculus and the formula for the slope.
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