Evaluate the polynomial when x =4
Evaluate the polynomial when x = 4:
x3 - 5x2 + x
4^3 - 5(4)^2 + 4 = 64 + 80 + 4 = ?
To evaluate the polynomial when x = 4, you need to substitute the value of x into the polynomial expression and simplify.
First, let's substitute x = 4 into the polynomial:
(4)3 - 5(4)2 + (4)
Now, simplify the expression using the order of operations (PEMDAS/BODMAS):
(4)3 is equal to 4 raised to the power of 3, which is 4 * 4 * 4 = 64.
(4)2 is equal to 4 raised to the power of 2, which is 4 * 4 = 16.
Substituting these values into the polynomial:
64 - 5(16) + 4
Now, we simplify the expression further:
64 - 80 + 4
Combine like terms:
-16 + 4
Final answer:
-12
Therefore, when x = 4, the polynomial expression x3 - 5x2 + x evaluates to -12.