Math Snap

STEP 1

1. A polynomial of degree 2 is a quadratic polynomial, which has the highest power of $x$ as 2.
2. We need to identify which of the given expressions are quadratic polynomials.

STEP 2

1. Analyze each polynomial to determine its degree.
2. Circle the polynomials that are of degree 2.

STEP 3

Analyze the polynomial $2x + 3$:
- The highest power of $x$ is 1.
- Therefore, it is not a degree 2 polynomial.

STEP 4

Analyze the polynomial $-4x^2 + 3x - 1$:
- The highest power of $x$ is 2.
- Therefore, it is a degree 2 polynomial.

STEP 5

Analyze the polynomial $(x+3)(x-2)$:
- Expand the expression:
$$(x+3)(x-2) = x^2 - 2x + 3x - 6 = x^2 + x - 6$$ - The highest power of $x$ is 2.
- Therefore, it is a degree 2 polynomial.

STEP 6

Analyze the polynomial $(x+4)^2 - 8$:
- Expand the expression:
$$(x+4)^2 - 8 = (x^2 + 8x + 16) - 8 = x^2 + 8x + 8$$ - The highest power of $x$ is 2.
- Therefore, it is a degree 2 polynomial.

Circle the polynomials that are of degree 2:
- $-4x^2 + 3x - 1$
- $(x+3)(x-2)$
- $(x+4)^2 - 8$
The polynomials that are degree 2 are:
$$\boxed{-4x^2 + 3x - 1, \ (x+3)(x-2), \ (x+4)^2 - 8}$$