Polynomial Problems

4x² ( 2x  -7 )

• 8x³-7x²
• 8x³-7
• 8x³-28x²
• 8x³-28

(5x⁴-4x³-2x²+x-19)-(x⁴+5x³+8x²+x+5)

• 4x⁴-9x³-10x²-24
• 4x⁴-9x³-10x²-2x-24
• 4x⁴-9x³-10x²+2x-24
• -4x⁴-9x³-10x²-24

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

• 20x²-2
• 20x²-3x-2
• 20x²+3x-2
• 20x²-11x+5

(p-8)²

• p²-16p-64
• p²+16p+64
• p²-64
• p²+16p-64

(3y²+y³-5)+(4y²-4y+2y³+8)

• -y⁴+2y³-y-4
• 4y²+3y³-y+3
• 3y³+7y²-4y+3
• 3y³+7y²-4y+3

3x(2x²-4x+2)-(5x²-7x-8)

• 6x³-17x²+13x+8
• 6x³+7x²-13x+8
• x²-21x
• 6x³-19x+6x-8

Tags

CCSS.HSA.APR.A.1

The length of a swimming pool is twice as long as it is wide.  A small concrete walkway surrounds the  pool.  The walkway is a constant 3 feet wide and has an area of 216 square feet.  Find the area of the pool. (Hint:  find the dimensions first.)  

• 338 ft²
• 512 ft²
• 200 ft²
• 32 ft²

Christopher knows the perimeter of his parent's yard is 6x³-12x²+16x-8.  If the length of their backyard is x³-4x+2, find the width.

• 4x³-12x²+8x-4
• 5x³-12x²-12x-6
• 2.5x³-6x²-6x-3
• 2x³-6x²+4x-2

(3x-2)(7x²-4x+3)

• 21x³-26x²-x+6
• 21x³-26x²+17x-6
• 21x³+2x²+1x+6
• 21x³-2x²+1x-6

• 18x²+39x-3
• 10x²+33x-19
• 6x²-19x+3
• 6x²+19x-3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3