Question

unit exponents and polynomials
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
evaluate (-2y^3 + y^2 - 3y + 4) when (y = 3).
(\bigcirc) (-24)
(\bigcirc) (-50)
(\bigcirc) (-16)
(\bigcirc) (-58)

Explanation:

Step1: Substitute \( y = 3 \) into the expression

We have the expression \( -2y^{3}+y^{2}-3y + 4 \). Substitute \( y = 3 \) into each term:

• For the term \( -2y^{3} \): \( -2\times(3)^{3}=-2\times27=-54 \)
• For the term \( y^{2} \): \( (3)^{2}=9 \)
• For the term \( -3y \): \( -3\times3=-9 \)
• The constant term is \( 4 \)

Step2: Combine the terms

Now, add all the substituted terms together:
\( -54 + 9-9 + 4 \)
First, \( -54+9=-45 \)
Then, \( -45-9=-54 \)
Finally, \( -54 + 4=-50 \)

Answer:

\(-50\) (corresponding to the option with \(-50\))