1. what is the sum or difference? 4x^10 - 9x^10 (1 point) (a). -5x^10 (b). -5x^20 (c). -36x^20 (d). -36x^20 2. what is the sum or difference? 6y^5 - 9y^5 (1 point) (a). -3y^10 (b). 15y^5 (c). -54y^5 (d). -3y^5 3. write the polynomial in standard form. then name the polynomial based on its degree and number of terms. 2 - 11x^2 - 8x + 6x^2 (1 point) (a). -5x^2 - 8x + 2; quadratic trinomial (b). -5x^2 - 8x; quadratic binomial (c). -6x^2 - 8x - 2; cubic polynomial (d). 6x^2 - 8x + 2; cubic trinomial 4. a biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. the biologist modeled the populations, in thousands, with the following polynomials where x is time, in years. white-sided jackrabbits: 5.5x^2 - 9.2x + 6.9 black-tailed jackrabbits: 5.5x^2 + 9.9x + 1.3 (1 point) (a). 11x^2 + 0.7x + 8.2 (b). 11x^2 - 0.7x + 8.2 (c). 11x^2 - 0.7x - 8.2 (d). -11x^2 + 0.7x - 8.2 someone ! unit 3 lesson 9, polynomials and factoring!

Solving question 1 : What is the sum or difference?

Hence, option A is correct i.e. .

Solving question 2 : What is the sum or difference?

Hence, option D is correct i.e. .

Solving question 3 : Write the Polynomial in standard form.

2 - 11x² - 8x + 6x²

We can combine like terms, and rewriting it in decreasing power of x's.

⇒ - 11x² + 6x² - 8x + 2

⇒ (-11 + 6)x² - 8x + 2

⇒ -5x² - 8x + 2

Hence, option A is correct i.e. -5x² - 8x + 2; quadratic trinomial.

Solving question 4 :

White-sided jackrabbits: 5.5x² - 9.2x + 6.9

Black-tailed jackrabbits: 5.5x² + 9.9x + 1.3

Total population = White-sided jackrabbits + Black-tailed jackrabbits

Total population = (5.5x² - 9.2x + 6.9 ) + (5.5x² + 9.9x + 1.3)

Total population = (5.5 + 5.5)x² + (9.9 - 9.2)x + (6.9 + 1.3 )

Total population = 11x² + 0.7x + 8.2

Hence, option A is correct i.e. 11x² + 0.7x + 8.2

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.