What is the value of f(4) for the function f(x) = x^5 - x^4 - 10x^3 - 5x^2 + 1?

What is the value of f(4) for the function f(x) = x^5 - x^4 - 10x^3 - 5x^2 + 1?

• A. 49
• B. 64
• C. 25
• D. 36

Answer: (A)

To find the value of f(4) for the function f(x) = x^5 - x^4 - 10x^3 - 5x^2 + 1, you need to substitute 4 into the function. First, calculate each term individually: 1. \( 4^5 = 1024 \) 2. \( 4^4 = 256 \) 3. \( -10 \times 4^3 = -10 \times 64 = -640 \) 4. \( -5 \times 4^2 = -5 \times 16 = -80 \) 5. The constant term is \( 1 \). Now, combine these results: - Start with \( 1024 \) from the \( 4^5 \) term. - Subtract \( 256 \): \( 1024 - 256 = 768 \). - Then subtract \( 640 \): \( 768 - 640 = 128 \). - Next, subtract \( 80 \): \( 128 - 80 = 48 \). - Finally, add the constant term \( 1 \): \( 48 + 1 =

To find the value of f(4) for the function f(x) = x^5 - x^4 - 10x^3 - 5x^2 + 1, you need to substitute 4 into the function.

First, calculate each term individually:

1. ( 4^5 = 1024 )

2. ( 4^4 = 256 )

3. ( -10 \times 4^3 = -10 \times 64 = -640 )

4. ( -5 \times 4^2 = -5 \times 16 = -80 )

5. The constant term is ( 1 ).

Now, combine these results:

• Start with ( 1024 ) from the ( 4^5 ) term.

• Subtract ( 256 ):

( 1024 - 256 = 768 ).

• Then subtract ( 640 ):

( 768 - 640 = 128 ).

• Next, subtract ( 80 ):

( 128 - 80 = 48 ).

• Finally, add the constant term ( 1 ):

( 48 + 1 =