Grouping 4-term Polynomials

Equations

Geometry/Word Problems

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Bonus

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

100

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

by grouping in simplest form.

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

100

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

What is (3x²+12)?

100

The factor of 4x³-2x²+20x-10

by grouping in simplest form.

(2x²+10)(2x-2x²)

100

The factor of (108x³+36x²+216x+72)/3

by grouping in simplest form.

12(3x+1)(x²+2)

200

The factor of 8x³+4x²+12x+6

by grouping in simplest form.

What is (4x²+6)(2+x)?

200

The factor of

4x⁴+18x+16x²+63

by grouping in simplest form.

You can't group it

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)

200

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

32x²-16

200

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

none, they drowned

300

The factor of 54x³+18x²+108x+36

by grouping in simplest form.

What is 18(x²+2)(3x+1)?

300

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

by grouping in simplest form.

What is 4x(-2x²y+1)(2y-3x)?

300

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

(4x²+8)

300

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

(6x-5)

300

Should you study for the exam?

Yes

400

The factor of 12x⁶-8x⁵-27x+18

by grouping in simplest form.

(3x-2)(4x⁵-9)

400

The factor of 35xy-5x-56y+8

by grouping in simplest form.

What is (7y−1)(5x−8)?

400

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

(-x+4) / (21x³+8)

400

The factor of 9x³+36x²-4x-16

by grouping in simplest form.

(9x²+4)(x+4)

(3x+2)(x²+x−12)

400

The factor of 12xy-24x+9y-18

by grouping in simplest form.

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

500

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

by grouping in simplest form.

What is 3y(14x+3)(7x²+5y)?

500

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

by grouping in simplest form.

What is -3(3x+2)(2x²-1)

500

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

(12x²-33) / (x³-3)

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)

500

What are we reviewing?

Factoring 4-term polynomials