Question

Which polynomial is in standard form?

A) 12x-14x^4+11x^5
B)-6x-3x^2+2
C)11x^3-6x^2+5x
D)14x^9+15x^12+17

Answer 1

C because it is the only one arranged with exponents from greatest to least

Answer 2

The correct option is C.

Explanation:

In the standard form of a polynomial, the terms are arranged according to its order of degree, from highest to lowest, left to write.

`P=a_0x^n+a_1x^(n-1)+...+a_(n-1)x+a_n`

In option 1,

The degree of first term is 2 and the degree of second term is 4. Since the terms are not arranged according to its order of degree, therefore option A is correct.

Similarly, options B and D are incorrect because the terms are not arranged according to its order of degree.

In option C, the order of first term is 3, order of second term is 2 and order of third term is 1.

Since the terms are arranged according to its order of degree, therefore this polynomial is in standard form.

Hence the correct option is C.