Factoring and Simplifying Rational Expressions

True or False.

x² + 2x + 1 is factorable.

• True

• False

Is x² + 16x - 64 a PST?

• Yes

• No

The product of a sum and difference is called _________________.

• product of two squares

• sum of two squares

• difference of two squares

• perfect square trinomial

Difference of two cubes : a³ - b³  ;   ______________ : a² - c²

• Sum of two cubes

• Sum of two squares

• Sum of two cubes

• Difference of two squares

Factor x² - 36 completely.

• (x - 6)(x - 6)

• (x - 6)(x + 6)

• (x + 6)(x + 6)

• x - 6

Factor x² - 5x + 4 completely.

• (x - 4)(x - 1)

• (x + 4)(x + 1)

• (x + 4)(x - 1)

• (x - 4)(x + 1)

Which of the following shows difference of two cubes?

• (x - 3)³

• x⁶ - 27

• x³ - 9

• x⁹ - 3

What do you call a polynomial which has no other factors other than 1 and itself?

• cancellation

• factors

• product

• prime

True or False.

3x² - x is a prime polynomial.

• True

• False

True or False.

The GCF of 8x⁴y² + 12y³z³ - 32xz is 4xy²z.

• True

• False