Polynomials Subtract From

Subtract the polynomials.

Tags

CCSS.HSA.APR.A.1

Subtract the polynomials.

Tags

CCSS.HSA.APR.A.1

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

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

What will the subtraction sign in between the polynomials do to the second polynomial?

• Change all of it's signs

• Nothing

• Change the sign of the first term

Tags

CCSS.HSA.APR.A.1

• 4g²-2g

• 4g²+4g-6

• 6g²+2g+6

• 4g²+2g

Tags

CCSS.6.EE.A.3

Subtract the polynomials. Enter the correct answer.

Mathematical Equivalence

OFF

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

John is managing his budget for the month. He records his income as (3- 2x + 2x²) dollars and his monthly bills as (4x -5 +3x²) dollars. Calculate the difference between his income and bills. 

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

John and Emily are planning to prepare two types of cookies for a local charity event. The first cookie recipe requires ingredients costing (2x² + 5x - 7) dollars, and the second cookie recipe requires ingredients costing (3 - 4x² + 6x) dollars. How much will the ingredients for both cookie types cost in total?

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Tags

CCSS.HSA.APR.A.1