Question

The missing term in the following polynomial has a degree of 5 and a coefficient of 16. ?+13x^6-11x^3-9x^2+5x-2 Which statement best describes the polynomial?
A) It is not in standard form because the degree of the first term is not greater than six.

B) It is not in standard form because the degree of the first term should be equal to zero.

C) It is in standard form because the exponents are in order from highest to lowest.

D) It is in standard form because the coefficients are in order from highest to lowest.

Answer 1

Answer:  The correct option is (A) It is not in standard form because the degree of the first term is not greater than six.

Step-by-step explanation:  The given polynomial with a missing term is

$P=?+13x^6-11x^3-9x^2+5x-2.$

The missing term in the following polynomial has a degree of 5 and a coefficient of 16.

We are to select the statement that best describes the polynomial 'P'.

Since the degree of the missing term is 5 and its coefficient is 16, so the missing term is

$16x^5.$

So, the complete polynomial will be

$P=16x^5+13x^6-11x^3-9x^2+5x-2.$

For a polynomial to be in standard form, the degree of the unknown variable must be in descending order.

But, we can see that the degree of the first term is 5, which is less than 6, the degree of the second term.

So, the polynomial 'P' is not in the standard form because the degree of the first term is not greater than 6.

Thus, (A) is the correct option.

Answer 2

The answer is A, hope this helps!