for the polynomial shown below, find f(-1).
f(x)=3x^4-x^3+4x-2
what's the trouble? Plug in x = -1
3(1) - (-1) + 4(-1) - 2 = -2
For the polynomial shown below, find f(-2).
To find f(-1) for the given polynomial f(x) = 3x^4 - x^3 + 4x - 2, we need to substitute -1 for x in the expression. Let's do that step-by-step:
Step 1: Replace x with -1 in the polynomial expression.
f(-1) = 3(-1)^4 - (-1)^3 + 4(-1) - 2
Step 2: Simplify the expression using the order of operations (PEMDAS).
f(-1) = 3(1) - (-1) + 4(-1) - 2
Step 3: Continue simplifying.
f(-1) = 3 - (-1) - 4 - 2
= 3 + 1 - 4 - 2
= 4 - 4 - 2
= 0 - 2
= -2
Therefore, f(-1) = -2.
To find f(-1), we need to substitute -1 for x in the given polynomial expression and evaluate it.
Step 1: Start with the given polynomial, f(x) = 3x^4 - x^3 + 4x - 2.
Step 2: Replace every occurrence of x with -1 in the polynomial expression:
f(-1) = 3(-1)^4 - (-1)^3 + 4(-1) - 2.
Step 3: Simplify the expression using the order of operations (PEDMAS):
f(-1) = 3(1) - (-1) + (-4) - 2.
f(-1) = 3 + 1 - 4 - 2.
Step 4: Perform the addition and subtraction:
f(-1) = -2.
Therefore, the value of f(-1) is -2.