Q:

1. What is the sum or difference?4x^10 - 9x^10 (1 point)(A). -5x^10(B). -5x^20(C). -36x^20(D). -36x^202. What is the sum or difference?6y^5 - 9y^5 (1 point)(A). -3y^10(B). 15y^5(C). -54y^5(D). -3y^53. 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 + 6.9Black-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 - 8.2Someone please help! Unit 3 Lesson 9, Polynomials and Factoring!

Accepted Solution

A:
Solving question 1 : What is the sum or difference? [tex] 4x^{10} - 9x^{10} \\\\
(4-9)x^{10} \\\\
-5x^{10} [/tex]Hence, option A is correct i.e. [tex] -5x^{10} [/tex].Solving question 2 : What is the sum or difference? [tex] 6x^{5} - 9x^{5} \\\\
(6-9)x^{5} \\\\
-3x^{5} [/tex]Hence, option D is correct i.e. [tex] -3x^{5} [/tex].Solving question 3 : Write the Polynomial in standard form. 2 - 11x² - 8x + 6x²We can combine like terms, and rewriting it in decreasing power of x's.⇒ - 11x² + 6x² - 8x + 2⇒ (-11 + 6)x² - 8x + 2⇒ -5x² - 8x + 2Hence, 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 jackrabbitsTotal 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 + 8.2Hence, option A is correct i.e. 11x² + 0.7x + 8.2