Polynomial Factors Perfect Square Trinomial

Which is another way of correctly expressing
 (x  - 3)(x - 3)?

• (x² - 3²)

• (x² - 3)

• (x + 3)(x - 3)

• (x - 3)²

• quadratic binomial

• difference of squares

• (x+7)(x-7)

• cubic binomial

• quadratic monomial

• sum of squares

• perfect square trinomial

• (x+7)(x+7)

• (x-7)(x-7)

a trinomial that is the square of a binomial

• perfect square trinomial

• Zero Product Property

• trinomial

• leading coefficient

a polynomial that cannot be written as a product of two polynomials with integral coefficients

• prime polynomial

• monomial

• perfect square trinomial

• degree of a polynomial

TRUE or FALSE. The 2nd term shows that it is 2 times of the answer when you multiply the factor of perfect squares ,x² and 16.

x² +8x + 16

• TRUE

• FALSE

Answer explanation

It is true.

x² + 8x + 16

Let's get the factor of the

x² = x • x

16 = 4 • 4 or -4 • -4

Choose 4 because of positive on 8 .

2 times 4 times x is 8x.

x² + 8x + 16

Which of the following option/s are techniques in factoring polynomials? Check all that applies.

• Factoring Perfect Square Trinomial

• Factoring by Grouping

• Common Monomial Factoring

• Factoring Differences of Two Squares

Factor the perfect square trinomial

x² - 18x + 81

• (x - 9)(x + 9)

• (x - 3)(x + 9)

• (x + 9)(x + 9)

• (x - 9)(x - 9)

Completely factorize the perfect square trinomial (9x² + 24x +16).

• (3x + 4)²

• (3x - 4)(3x + 4)

• (3x + 4)(3x - 4)

• (3x - 4)²

Check all option/s that is/are example/s of a polynomial.

• 7

• x + 4

• x² - y + 3z

The process such as _________ is the decomposition of polynomial into a product of two or more polynomials.

• Factoring

• Rationalizing

• Counting

• Multiplying