Add, Subtract, Multiply Polynomials

Find the sum.

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + x² – 3x + 1

• 2x³ + x² - 5x + 9

• 6x³ + x - x² - 3

• 3x⁵ +x - x⁵ - 3x

Tags

CCSS.HSA.APR.A.1

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z
• -x +10y - 10z
• x -10y - 10z
• -x -10y - 10z

Tags

CCSS.HSA.APR.A.1

Chris drew a triangle on his paper. He labeled one side 2x + 3, another side with 5x² - 3x + 7 and the third side with -3x² + 2. He then found the perimeter of his triangle. Which of the following polynomials represents the perimeter of Chris's triangle?

• -2x² + x + 12

• 2x² - x + 12

• 8x² + 5x - 12

• -8x² - x + 12

Tags

CCSS.HSA.APR.A.1

Multiply the following

-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Tags

CCSS.HSA.APR.A.1

Dave wants to build a rectangular garden. The width of the garden is represented by 5x² and the length of the garden is represented by 3x² - 5x - 2. Find the area of Dave's garden.

• 15x³ - 25x² - 10x

• 15x⁴ - 25x² + 10x²

• 15x⁴ - 25x³ - 10x²

• 15x³ - 15x²

Tags

CCSS.HSA.APR.A.1

Which set of binomials matches the trinomial
2x² - 7x - 4

• (x + 4)(2x + 1)
• (2x + 1)(x - 4)
• (x + 4)(x + 7)
• (2x - 1)(x - 5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

(x - 3)(x +10)

• x² - 7x + 13
• x² - 6x - 30
• x² + 7x - 30
• x² + 13x + 30

Tags

CCSS.HSA.APR.A.1

(x - 3) + (x +10)

• x² - 30

• 2x + 13

• x² + 7x - 30

• 2x + 7