# Algebra And Geometry

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Algebra and geometry is the tool used in abstract algebra, finding the zeros of polynomials etc. This tool is also used to find out the limits related to the algebraic curves such as circle, lines, parabolas, ellipse, hyperbola, cubic curves etc. This tool uses both algebraic and geometric functions together in solving algebraic curve. By the algebraic curve we mean the curve related to geometry and the equations related to algebra. This tool after using both algebraic and geometry functions returns the output value in a very quick time.

This can be better understood by the following examples:-

Example 1:- Find the zero of the polynomial f(x) = x2+ 3x +5

Solution :-   Given function is: - f(x) = x2+ 3x +5

We have to find the zero of the polynomial f(x) = x2+ 3x +5.

This can be found out by substituting the value of x as zero.

Therefore,

f(x) = x2+ 3x +5

So f (0) = 0+ 3(0) + 5

So f (0) =5 is the zero of the polynomial f(x) = x2+ 3x +5

Example 2:- Find the zero of the polynomial f(x) = x3+ 5x +100

Solution :-   Given function is: - f(x) = x3+ 5x +100

We have to find the zero of the polynomial f(x) = x3+ 5x +100

This can be found out by substituting the value of x as zero.

Therefore,

f(x) = x3+ 5x +100

So f (0) = 0+ 5(0) + 100

So f (0) =100 is the zero of the polynomial f(x) = x3+ 5x +100