Question

Find the value of polynomial p(x)=x2-2x+5 FOR THE VALUE OF X=-1 AND x=5

Answer 1

In the expression p(x) = x² - 2x + 5, p(x) = 8 for x = -1 and p(x) = 20 for x = 5.

Given:

p(x) = x² - 2x + 5

To find:

The value of the polynomial for x = -1 and x = 5.

Solution:

A polynomial expression contains variables, exponents and coefficients. The value of a polynomial expression can be calculated by replacing the variable with a given value.

The required answer can be obtained by replacing x in the polynomial equation with the value provided.

For x = -1,

x² - 2x + 5 = (-1)² - 2(-1) + 5 = 1 + 2 + 5 = 8

For x = 5,

x² - 2x + 5 = 5² - 2x5 + 5 = 25 - 10 + 5 = 20

Hence, in the expression p(x) = x² - 2x + 5, p(x) = 8 for x = -1 and p(x) = 20 for x = 5.

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