Question

Which polynomial is in standard form? A) 2x5 − 3x3 − 6x2 + 7x + 9 B) 2x2 − 3x3 − 6x4 + 9x + 11 C) 8x − 3x3 + 6x2 + 9x5 + 10 D) 8 − 3x + 6x2 + 9x3 + 11x4

Answer 1

A

Explanation:

A polynomial is in standard form when its term of highest degree is first, its term of 2nd of next highest degree is 2nd etc..

Check all options:

A. Polynomial
`2x^5-3x^3-6x^2 + 7x + 9` is in standard form, because degrees are in descending order.

B. Polynomial
`2x^2-3x^3-6x^4 + 9x + 11` is not in standard form, because degrees are not in descending order. The standard form of this polynomial is
`-6x^4-3x^3+ 2x^2+ 9x + 11`

C. Polynomial
`8x-3x^3 + 6x^2 + 9x^5 + 10` is not in standard form, because degrees are not in descending order. The standard form of this polynomial is
`9x^5-3x^3 + 6x^2 +8x + 10`

D. Polynomial
`8-3x + 6x^2 + 9x^3 + 11x^4` is not in standard form, because degrees are in ascending order. The standard form of this polynomial is
`11x^4+9x^3+6x^2-3x+8`