Question

1. evaluate each polynomial when \\(x = -2\\) and \\(y = 3\\) (2 marks)

a) \\(3x + 2 + y\\)
b) \\(2x^2 + y^2\\)

Explanation:

Identify the given values

We are given the values:
\(x = -2\)
\(y = 3\)

Evaluate expression a

We substitute the values into the expression \(3x + 2 + y\).
Using Algebraic Expression Simplification:

$$ 3(-2) + 2 + 3 $$

Multiply the terms:

$$ -6 + 2 + 3 $$

Add the numbers:

$$ -6 + 5 = -1 $$

Evaluate expression b

We substitute the values into the expression \(2x^2 + y^2\).
Using Algebraic Expression Simplification:

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

Calculate the exponents:

$$ 2(4) + 9 $$

Multiply and add:

$$ 8 + 9 = 17 $$

Answer:

Question 3a

\(-1\)

Question 3b

\(17\)