which polynomials are in standard form? choose all answers that apply: a 5 - 2x b x^4 - 8x^2 - 16 c 5x^3 +…

Explanation:

Step1: Recall standard - form of polynomial

A polynomial in one variable is in standard form when its terms are written in descending order of exponents.

Step2: Analyze option A

For the polynomial (5 - 2x), the terms are (5) (degree (0)) and (-2x) (degree (1)). Since the degrees are not in descending order, it is not in standard form.

Step3: Analyze option B

For the polynomial (x^{4}-8x^{2}-16), the exponents are (4), (2), and (0) in descending order. So it is in standard form.

Step4: Analyze option C

For the polynomial (5x^{3}+4x^{4}-3x + 1), the exponents are (3), (4), (1), and (0). Since the exponents are not in descending order ((4) should come before (3)), it is not in standard form.

Answer:

B. (x^{4}-8x^{2}-16)