Which of the following is the correct set notation for the set of perfect squares between 1 and 100 (including 1 and 100)? Select the correct answer below:

{p2∣p∈ℤ and 1≤p≤10}

{p2∣p∈ℤ and 1
{p2∣p∈ℝ and 1≤p≤10}

{p2∣p∈ℤ and 1

Step-by-step explanation:

Given

Range: = 1 to 100 (Inclusive)

Required

Determine the notation that represents the perfect square in the given range

Represent the range with P

P = 1 to 100

Such that the perfect squares will be P² and integers

In set notation, integers are represented with Z

The set notation becomes

The shows that 1 and 100 are inclusive of the set

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form