Grouping 4-term Polynomials

Equations

100

Double Points: 

The factor of -2(2x+xy)-3y+6 by grouping in simplest form.

You can't group it: -4x-2xy-3y+6

200

The factor of 8x³+4x²+12x+6

by grouping in simplest form.

What is (4x²+6)(2+x)?

300

The factor of 54x³+18x²+108x+36

by grouping in simplest form.

What is 18(x²+2)(3x+1)?

400

The factor of 12x⁶-8x⁵-27x+18

by grouping in simplest form.

(3x-2)(4x⁵-9)

500

The factor of 294x³y+63x²y+5(42xy²+9y²)

by grouping in simplest form.

What is 3y(14x+3)(7x²+5y)?

Equations

100

The factor of -2x+xy-3y+6

by grouping in simplest form.

What is (y-2)(y-3)

200

The factor of 

4x⁴+18x+16x²+63

by grouping in simplest form.

You can't group it

300

Double Points: The factor of 8xy-12x²-16y²x³+24x⁴y

by grouping in simplest form.

What is 4x(-2x²y+1)(2y-3x)?

400

The factor of 35xy-5x-56y+8 

by grouping in simplest form.

What is (7y−1)(5x−8)?

500

The factor of (216+81x^2)1/2-12x²-18x³

by grouping in simplest form.

What is -3(3x+2)(2x²-1)

Geometry/Word Problems

100

The area of a square is: 9x⁴+24x²+48x²+144 find demensions

What is (3x²+12)?

200

Double Points: Kevin's rectangular new house blueprint has 4 rooms, the dining room which is 8 A-units, a bedroom which is 12 B-units, a living room which is 2 A-units and 3 B-units, and a dining room which is 25feet². What is the area?

5(2x+3y+5)

300

The area of a rectangle: 4x³+8x²+8x+16, length is x+2, what is the height

(4x²+8)

400

The area of a triangle: 21x⁴+84x³-8x+32, length and height

(-x+4) / (21x³+8)

500

The area of a triangle: 3 * that of a smaller triangle, 4x⁵-12x²-11x³+33, length and height

(12x²-33) / (x³-3)

???

100

The factor of 4x³-2x²+20x-10

by grouping in simplest form.

(2x²+10)(2x-2x²)

200

The area of a rectangle: 32x³+64x²-16x-32, length is x+2, what is the height

32x²-16

300

The area of a triangle: 24x³-20x²-18x+15, the base is 8x²-6, what is the height?

(6x-5)

400

The factor of 9x³+36x²-4x-16

by grouping in simplest form.

(9x²+4)(x+4)

or

(3x+2)(x²+x−12)

500

Triple Points: Jackson has bought a weed remover labeled QnE for the back of his rectangular yard. He used 4 cans to cover half of it. 

He then used 3 cans of AnE to spray a quarter of it. The equation for AnE is the number of (AnE cans * XnE) * QnE.

He then used 9 cans of XnE to finish the back of his yard. 

If the front is 12 feet², what are the length and the width of his full yard?

(x+3) / (3y+4)

Bonus

100

The factor of (108x³+36x²+216x+72)/3

by grouping in simplest form.

12(3x+1)(x²+2)

200

If three ducks swam across the river and two came back how many are on the other side

none, they drowned

300

Should you study for the exam?

Yes

400

The factor of 12xy-24x+9y-18 

by grouping in simplest form.

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

500

What are we reviewing?

Factoring 4-term polynomials