Add, Subtract Polynomials

A mathematician named Dr. Euler is working on polynomial expressions for a new mathematical model and encounters the following problem while simplifying an equation:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

• -14p⁴ + 9p³ - 6

• -14p⁴ + 9p³ + 6

• -14p⁴ + 9p³ - 1

• -15p⁴ + 9p³ + 6

Tags

CCSS.HSA.APR.A.1

Lisa and John are comparing their savings over the year. Lisa's savings can be represented by the polynomial (3- 2x + 2x²), indicating her savings in thousands over x months, while John's savings are represented by (4x -5 +3x²), also in thousands over x months. Calculate the difference between Lisa's and John's savings. 

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

Dr. Smith, a mathematician, is analyzing the growth patterns of two different species of plants over time. She models the growth of each species with polynomial equations and decides to compare their growth by subtracting the polynomial equation of species B from species A: (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

Tags

CCSS.HSA.APR.A.1

Alice and Bob are playing with numbers. Alice writes down the equation 
(3- 2x + 2x²) and Bob writes down (4x -5 +3x²). Find the difference between Alice's and Bob's equations.

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

• 4g²-2g

• 4g²+4g-6

• 6g²+2g+6

• 4g²+2g

Tags

CCSS.6.EE.A.3

• 3x³+5x²+3x+15

• 3x³+6x²+3x+16

• 3x³+6x²+3x+15

• 2x³+5x²+2x+16

Tags

CCSS.HSA.APR.A.1

Subtract the polynomials. Enter the correct answer.

Mathematical Equivalence

OFF

Tags

CCSS.HSA.APR.A.1

Simply:

• -1k⁴ +17k² +22

• -7k⁸ + 11k⁴-6

• -7k⁴ - 11k² +6

• 7k⁴ - 5k²

Tags

CCSS.HSA.APR.A.1

Subtract the polynomials. Enter the correct answer.

Mathematical Equivalence

OFF

Tags

CCSS.HSA.APR.A.1

Find the sum

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Tags

CCSS.HSA.APR.A.1