Question

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1.)
Create a trinomial. Write it in ascending order and identify its degree.
2.)
Part 1: Explain, in complete sentences, whether or not the polynomial x2 – 16x + 64 fits one of the special patterns. If so, which one?
Part 2: Explain how the polynomial is factored.
Part 3: Provide the factors.
3.)
Explain, in complete sentences, how to factor 5x2 – 5x – 30. Explain how your factors could be checked for accuracy.

Answer 1

The main special patterns:
(x+a)² = x² + 2ax + a²
(x+a)(x-a) = x² - a²

Answer 2

huh

Answer 3

For part 1, a trinomial is just a polynomial with 3 parts:
If your trinomial is:
c + bx + ax²
The degree is 2 (x²)
The degree is the largest power used.

Answer 4

ok 2 & 3

Answer 5

2:
Is the question in the form
x² + 2ax + a² ? If so, it factors to (x+a)²
x² - a² ? If so, it factors to (x+a)(x-a) (Difference of squares)

Answer 6

ok

Answer 7

For 3:
Divide each part by 5, leaving you with:
x² - x - 6
(x+a)(x+b)
a + b = -1
ab = -6