Factoring Trinomials

Rules/Steps to Factoring

100

When factoring a trinomial, what is the first thing you look at to determine the types of signs of the two binomial factors?

the last sign in the trinomial

200

Name one of the special factoring cases.

The difference of two squares OR a perfect square trinomial

300

When factoring ANY trinomial, what must you first check for?

To see if a greatest common factor (GCF) can be factored out.

400

When performing factor by grouping on a trinomial that contains no GCF, what is the first-step you must take to begin factoring the trinomial?

Multiply the lead-coefficient and the constant

500

John factored n² - 6n + 9 to be (n-3)(n+3). What is John's error.

it should be (n-3)(n-3)

Factoring: x2+bx+c

100

Factor: x² + 23x + 42

(x+21)(x+2)

200

Factor: h² - 14h - 72

(h-18)(h+4)

300

Factor: m² + 24m - 81

(m-3)(m+27)

400

A rectangular patio has an area of x²+14x+48. If the length of it is (x+8) what is the width?

(x+6)

500

A rectangular window has an area of c² - 9c - 52. What are the possible dimensions of the window?

(c-13)(c+4)

More: x2+bx+c

100

Factor: x²-7x+12

(x-4)(x-3)

200

Factor: x²+3x-10

(x-2)(x+5)

300

Factor: y²+24y-81

(y-3)(y+27)

400

A TV has an area of v²-v-6. What are the possible dimensions of the TV?

(v-3)(v+2)

500

A phone has an area of h²+10h+16. Evan determined that the dimensions of the phone are (h-8) and (h-2). Are they right? If not what was their mistake?

EVAN IS WRONG!!! It should be factors of positive 8 and 2.

Factoring: ax2+bx+c

100

Factor: 3x² + 16x + 5

(3x+1)(x+5)

200

A garden is rectangular in shape. Its area is 8g² - 14g + 3. If its length is (2g-3), what is its width?

(4g-1)

300

Factor: 8x² + 2x - 1

(4x-1)(2x+1)

400

What is the area of a rectangle with a length of (4x+4) and a width of (7x-5)?

28x² + 8x - 20

500

A rectangular table has an area of 27x² + 6x - 8. What are the dimensions of the table?

(9x-4)(3x+2)

Factoring: by GCF

100

Factor: 18x² - 33x + 12

3(3x-4)(2x-1)

200

Factor: 8x² - 36x - 20

4(2x+1)(x-5)

300

Factor: 30x² + 14x - 8

2(3x-1)(5x+4)

400

Factor: 24x² + 52x - 20

4(2x+5)(3x-1)

500

Factor: 24x² + 96x + 90

6(2x+3)(2x+5)