213k views
5 votes
Given A = 7x² - 3x + 10 and B = -4x² + 6x - 4, find A - B.

a) 11x² - 9x + 14
b) 11x² - 9x + 6
c) 3x² - 9x + 14
d) 3x² - 9x + 6

User Patsy
by
9.0k points

1 Answer

2 votes

Final answer:

Subtract polynomial B from polynomial A term by term, resulting in the final expression A - B = 11x² - 9x + 14, which is option a).

Step-by-step explanation:

To find A - B when given A = 7x² - 3x + 10 and B = -4x² + 6x - 4, you subtract each corresponding term in polynomial B from polynomial A.

Performing the subtraction:

  • (7x² - (-4x²)) = 7x² + 4x² = 11x²
  • (-3x - 6x) = -3x - 6x = -9x
  • (10 - (-4)) = 10 + 4 = 14

After simplifying each term, we combine them to get the final expression A - B which is 11x² - 9x + 14.

Therefore, the correct answer to A - B is 11x² - 9x + 14 which corresponds to option a).

User Stew Hogarth
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories