Factoring Friday Jeopardy

Factoring

100

A number written as a product so that each of its factors has no factors other than 1 and itself is the _______.

Prime factorization

200

The _____ of two monomials is the greatest of the factors that the monomials share.

Greatest common factor

300

Describe the type of solution this problem represents:

4x²-36

Difference of squares

400

What is the first thing to look for when factoring any polynomial?

GCF

500

If x²-bx+c, what are the signs of the two terms found?

Both terms will be negative

ax²+bx+c

100

2x²+11x+5

(2x+1)(x+5)

200

2x²-3x+1

(2x-1)(x-1)

300

5x²+28x+15

(5x+3)(x+5)

400

7x²-37x+10

(7x-2)(x-5)

500

-4x²+8x+5

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

GCF

100

Write the prime factorization of 114.

2*3*19

200

Find the GCF of the pair of numbers: 54 and 81

27

300

Find the GCF of the pair of monomials:  -18b⁴ and 27b²

9b²

400

Factor

b(b+4)+2(b+4)

(b+2)(b+4)

500

Factor

b³-5b+15-3b²

(b²-5)(b-3)

Factoring Special Products

100

Tell whether this is a perfect square trinomial and if so, factor:

x²+12x+36

Yes, (x+6)²

200

Tell whether this is a difference of two squares and if so, factor:

(-12)²-(x³)²

Yes, (-12-x³)(-12+x³)

300

Tell whether this is a difference of two squares and if so, factor:

100x²-81

Yes, (10x-9)(10x+9)

400

Factor the polynomial

81x²+144x+64

(9x+8)²

500

Factor

j²+9k⁸

Fully factored

x²+bx+c

100

Factor

x²+6x+5

(x+5)(x+1)

200

Factor

x²-13x+22

(x-2)(x-11)

300

Factor

x²+5x-84

(x+12)(x-7)

400

Factor

x²-6x-72

(x+6)(x-12)

500

A rectangle has an area of y²+8y+15 m².  What is the width of the rectangle if the length is (y+5) m?

(y+3) m