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Home >> Polynomials >> Find Value of Polynomial >>

Find Value of Polynomial

Algebraic Expression Algebraic Equation Ordering of Polynomials Types of Polynomials Addition of Polynomials
Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials Types of Degree / Powers in Polynomials Difference between Polynomials of Integers & Rationals
Find Value of Polynomial Find Zero of Polynomial Remainder Theorem in Polynomial Linear Equations Quadratic Equation
Factoring of Quadratic Polynomials



Value of a polynomial is obtained when variables of given polynomial are interchanged or replaced by the value of variable.

Let's study the following examples to understand with the help of below examples:

Example 1: Find the value of following polynomial where x = 2
p(x) = x2 + 4x + 4

Solution: Given polynomial:
p(x) = x2 + 4x + 4

Value of given polynomial when x = 2 and we get:
p(2) = (2)2 + 4 (2) + 4

Solve exponential forms and we get:
= 4 + 8 + 4

Solve the addition expression and we get:
= 16

Hence the value of p(x) = x2 + 4x + 4, where x = 2, is 16



Example 2: Find the value of following polynomial where y = 1
p(y) = 2y3 + y2 + 3

Solution: Given polynomial:
p(y) = 2y3 + y2 + 3

Value of given polynomial when y = 1 and we get:
p(1) = 2 (1)2 + (1)2 + 3

Solve exponential forms and we get:
= 2 + 1 + 3

Solve the addition expression and we get:
= 6

Hence the value of p(y) = 2y3 + y2 + 3, where y = 1, is 16



Example 3: Find the value of following polynomial where a = -2
p(a) = a3 + a2 - 10

Solution: Given polynomial:
p(a) = a3 + a2 - 10

Value of given polynomial when a = -2 and we get:
p(-2) = (-2)3 + (-2)2 - 10

Solve exponential forms and we get:
= (-8) + 4 - 10

Solve the above expression and we get:
= (-18) + 4
= (-14)

Hence the value of p(a) = a3 + a2 - 10, where a = -2, is (-14)

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