https://file.aiquickdraw.com/mathbot/file/1727370630664syy7wiis.jpg

The question is asking for the value of \( Q(2) \), where \( P(x) = -2x^3 + 3x^2 - 4x + 5 \).

To solve for \( Q(2) \), we substitute \( x = 2 \) into the polynomial equation:

\[
P(x) = -2x^3 + 3x^2 - 4x + 5
\]

Substituting \( x = 2 \):

\[
P(2) = -2(2)^3 + 3(2)^2 - 4(2) + 5
\]

\[
= -2(8) + 3(4) - 4(2) + 5
\]

\[
= -16 + 12 - 8 + 5
\]

\[
= -16 + 12 = -4
\]

\[
-4 - 8 = -12
\]

\[
-12 + 5 = -7
\]

So, the value of \( Q(2) \) is \(-7\).

Answer: \( -7 \).

---

Do you need further details or have any questions?  
Here are 5 related questions to deepen your understanding:

1. How do you determine the value of a polynomial at any given point?
2. What is the degree of the polynomial \( P(x) = -2x^3 + 3x^2 - 4x + 5 \)?
3. How does changing the sign of the coefficients affect the shape of a polynomial graph?
4. What is the difference between evaluating a polynomial and solving a polynomial equation?
5. How do you find the roots of a polynomial like \( P(x) \)?

**Tip**: When substituting values into a polynomial, be careful with negative signs and exponentiation to avoid calculation errors.

Diketahui suku Banyak P(x) = -2x^3 + 3x^2 - 4x + 5. Nilai Q(2) adalah…

Learn how to evaluate the polynomial P(x) = -2x^3 + 3x^2 - 4x + 5 by substituting x = 2. This problem involves key algebraic concepts such as polynomial functions and basic arithmetic operations, suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation