Question

2x³ - x²y² + 4y³=16 at the point (-2,1)
a) -24
b) 24
c) -16
d) 16

Answer 1

By substituting x with -2 and y with 1 in the polynomial expression, the correct evaluation at that point is -16. Thus, the answer to the student's question is option c) -16.

Step-by-step explanation:

The student's question involves evaluating a polynomial expression 2x³ - x²y² + 4y³ at a given point (-2,1). To find the answer, we substitute x with -2 and y with 1 in the expression.

Let's evaluate step-by-step:

• For the term 2x³: 2*(-2)³ = 2*(-8) = -16
• For the term -x²y²: -(-2)²*1² = -4*1 = -4
• For the term 4y³: 4*1³ = 4*1 = 4

Now, add all the evaluated terms together:

-16 - 4 + 4 = -16