Mastering Binomials and Polynomials

What is the result of (a + b)²?

• ab + a + b

• a² + 2ab + b²

• 2a + 2b

• a² + b²

Factor the expression x² - 16.

• (x + 4)(x + 4)

• (x - 4)(x - 4)

• (x - 8)(x + 2)

• (x - 4)(x + 4)

Expand the expression (2x - 3)(2x + 3).

• 4x^2 - 9

• 2x^2 - 6

• 4x^2 + 9

• 8x^2 - 9

Simplify the expression 3x² + 5x - 2 + 2x² - 4x.

• 5x² - 3x

• 5x² + x - 2

• 3x² + 5x + 2

• 4x² + x - 2

Identify if x² + 6x + 9 is a perfect square trinomial.

• No

• Only for even numbers

• It depends on the coefficients

• Yes

What is the result of (x - 5)(x + 5)?

• x^2 - 10

• x^2 + 10

• x^2 - 25

• x^2 + 25

Factor the expression 4x² - 25.

• (4x - 5)(x + 5)

• (2x - 1)(2x + 1)

• (2x - 5)(2x + 5)

• (2x - 10)(2x + 10)

Expand the expression (x + 2)².

• x² + 2

• x² + 2x + 2

• x² + 4x + 4

• x² + 4x + 2

Simplify the expression 5x² - 3x + 4 - 2x² + x.

• 3x² + x + 4

• 2x² - 3x + 4

• 3x² - 2x + 4

• 5x² - 4x + 4

Is 9x² - 30x + 25 a perfect square trinomial?

• Only if x is an integer

• It depends on the coefficients

• No

• Yes