Question

1. What is the sum or difference?

Answer 1

Solving question 1 : What is the sum or difference?

$4x^{10} - 9x^{10} \\\\ (4-9)x^{10} \\\\ -5x^{10}$

Hence, option A is correct i.e. $-5x^{10}$.

Solving question 2 : What is the sum or difference?

$6x^{5} - 9x^{5} \\\\ (6-9)x^{5} \\\\ -3x^{5}$

Hence, option D is correct i.e. $-3x^{5}$.

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