69.1k views
1 vote
Which polynomial is in standard form?

A) 2+x+ 5x²-x³ + 2x4
B) x + 5x³ + 6x² + x - 2
C) 2x + 3x² - 4x³ + 3x² + 2
D) 4x³ + 5x² + 6x6 +7x4-2

1 Answer

4 votes

Answer:

Explanation:

Option A) 2+x+ 5x²-x³ + 2x4 is not in standard form because the terms are not arranged in descending order of exponents.

Option B) x + 5x³ + 6x² + x - 2 also, is not in standard form because like terms are not combined and the terms are not arranged in descending order of exponents.

Option C) 2x + 3x² - 4x³ + 3x² + 2 can be simplified to get: -4x³ + 6x² + 2x + 2. This is not in standard form because the terms are not arranged in descending order of exponents.

Option D) 4x³ + 5x² + 6x6 +7x4-2 can be simplified to get: 6x6 +7x4 + 4x³ + 5x² - 2. This is in standard form because the terms are arranged in descending order of exponents.

Therefore, the polynomial in standard form is option D) 6x6 +7x4 + 4x³ + 5x² - 2.