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Wednesday 28th of June
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Evaluating Polynomials

A polynomial is an algebraic expression. Like other algebraic expressions involving variables, a polynomial has no specific value unless the variables are replaced by numbers. A polynomial can be evaluated without using funcion notation.

## Value of a Polynomial

a) Find the value of -3x4 - x3 + 20x + 3 when x = 1.

b) Find the value of -3x4 - x3 + 20x + 3 when x = -2.

Solution

a) Replace x by 1 in the polynomial:

 -3x4 - x3 + 20x + 3 = -3(1)4 - (1)3 + 20(1) + 3 = -3 - 1 + 20 + 3 = 19

So the value of the polynomial is 19 when x = 1.

b) Replace x by -2 in the polynomial:

 -3x4 - x3 + 20x + 3 =  -3(-2)4 - (-2)3 + 20(-2) + 3 =  -3(16) - (-8) - 40 + 3 =  -48 + 8 - 40 + 3 =  -77

So the value of the polynomial is -77 when x = -2