Synthetic Division Mastery

Michael, Aria, and Arjun are working on a math problem. They are trying to use synthetic division to find the height of a box with a volume of 2x^3 +x^2 -7x - 6. They know the length is (x+1) and the width is (x - 2). Find the height of the box.

• x-3

• 3x+2

• x+2

• 2x+3

Noah, Avery, and Sophia are working on a math problem. They are trying to use synthetic division to divide a polynomial that represents the number of apples they have collected over 4 days (4x^4 - 6x^3 + 5x^2 - 3x + 2) by the number of days (x + 1). Can you help them find the solution?

• 2x^3 - 4x^2 + 3x - 1

• 4x^3 - 10x^2 + 15x - 18

• 3x^3 - 5x^2 + 7x - 9

• 5x^3 - 8x^2 + 6x - 4

Mia, Arjun, and Lily are studying for their math exam. They come across a problem where they have to apply synthetic division to divide a polynomial. The polynomial is (2x^3 - 5x^2 + 3x - 7) and they have to divide it by (x - 3). Can you help them solve it?

• 3x^2 - 2x - 1

• x^2 - 4x + 2

• 4x^2 - 3x - 5

• The correct answer is (2x^2 - x - 6)

Abigail, Sophia, and Hannah are studying for their math exam. They come across a problem where they have to perform synthetic division. They need to divide (6x^4 + 3x^3 - 2x^2 + 5x - 1) by (x + 2). Can you help them solve it?

• 2x^3 - 5x^2 + 3x - 6

• 3x^3 - 4x^2 + 7x - 13

• The correct answer is 6x^3 - 9x^2 + 16x - 27

• 4x^3 - 7x^2 + 9x - 11

Abigail is trying to calculate the revenue of her lemonade stand. She models her revenue as a polynomial (5x^3 - 2x^2 + 4x - 1). Arjun suggests she should consider the effect of a price drop (x - 1) on her revenue using synthetic division. What would be the new revenue model?

• 4x^2 - 3x + 5

• 3x^2 - 5x + 2

• 2x^2 + 4x - 1

• 5x^2 + 3x + 7

Emma, Kai, and Nora are working on a math problem. They are trying to use synthetic division to divide a polynomial that represents the total sales of a company (8x^3 - 2x^2 + 5x - 4) by the number of years (x - 4). Can you help them find the solution?

• 2x^2 + 3x + 13

• 3x^2 + 5x - 1

• 6x^2 - 2x + 7

• 4x^2 + 3x + 2

Noah, Isla, and Charlotte are working on a math problem. They are trying to use synthetic division to divide a polynomial (9x^4 + 4x^3 - 3x^2 + 7x - 2) by another polynomial (x + 1). Can you help them find the correct answer?

• 9x^3 - 5x^2 + 2x - 5

• 4x^3 - 3x^2 + 2x - 7

• 5x^3 + 2x^2 - 6x + 1

• 3x^3 - 2x^2 + 4x - 3

Daniel, Lily, and Rohan are working on a math problem. They are trying to apply synthetic division to divide a polynomial (10x^3 - 5x^2 + 4x - 3) by another polynomial (x - 2). Can you help them find the correct answer?

• 10x^2 + 15x - 34

• 10x^2 - 15x + 34

• The correct answer is (10x^2 + 15x + 34) with a remainder of 65.

• 10x^2 - 15x - 34

Ava, Kai, and Anika are studying for their math exam. They come across a problem where they have to perform synthetic division to divide a polynomial (11x^4 + 6x^3 - 2x^2 + 8x - 5) by another polynomial (x + 2). Can you help them solve it?

• The correct answer is (11x^3 - 10x^2 + 18x - 34)

• The correct answer is (11x^4 - 10x^3 + 18x^2 - 34x - 5)

• The correct answer is (11x^3 - 10x^2 + 18x - 34)

• The correct answer is (11x^4 - 10x^3 + 18x^2 - 34x - 5)