Evaluate the expression 3x3 + 4x2 - x + 2, if x = -2. In the right-angled triangle below, angle QPR is x. Find (x) and (x).

here are the solutions to the questions.

Evaluate the expression: $3x^3 + 4x^2 - x + 2$, if $x = -2$.

Step 1: Substitute $x = -2$ into the expression.

$$3(-2)^3 + 4(-2)^2 - (-2) + 2$$

Step 2: Calculate the powers of $-2$.

$$(-2)^3 = -8$$ $$(-2)^2 = 4$$

Step 3: Substitute these values back into the expression.

$$3(-8) + 4(4) - (-2) + 2$$

Step 4: Perform the multiplications.

$$-24 + 16 + 2 + 2$$

Step 5: Perform the additions and subtractions.

$$-8 + 2 + 2$$ $$-6 + 2$$ $$-4$$

The value of the expression is $\boxed{-4}$.

In the right-angled triangle below, angle QPR is $x$. From the diagram, find the following:
The triangle has sides:
Hypotenuse (PR) = 15
Adjacent to $x$ (PQ) = 9
Opposite to $x$ (RQ) = 12