Question

For the polynomial shown below, find f(2).

f(x) = 2x⁴+ x³ - 4x - 3

Answer 1

To calculate f(2) for the polynomial f(x) = 2x⁴ + x³ - 4x - 3, substitute 2 for x, to find that f(2) = 29.

Step-by-step explanation:

To find f(2) for the polynomial f(x) = 2x⁴ + x³ - 4x - 3, we need to substitute x with 2 and evaluate the expression.

Following the substitution, we get:
f(2) = 2(2)⁴ + (2)³ - 4(2) - 3

Calculating each term, we have:

• (2)⁴ = 16
• 2 × 16 = 32
• (2)³ = 8
• -4 × 2 = -8
• Then we add up all the terms: 32 + 8 - 8 - 3

This simplifies to:

• 32 + 8 = 40
• 40 - 8 = 32
• Finally, 32 - 3 = 29

So, f(2) = 29