Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 6 – 2x3 – 3x + 6x3A. –4x3 – 3x + 6; quadratic trinomialB. 4x3 – 3x + 6; quadratic binomialC. 8x3 – 3x + 6; cubic polynomialD. 4x3 – 3x + 6; cubic trinomialpls explain your answer

Hey there.

When writing a polynomial in standard form, you always want to start from the highest degree (exponent), so let's simplify our expression before doing so.

-2[tex] x^{3} [/tex] + 6[tex] x^{3} [/tex] = 4[tex] x^{3} [/tex];
This number will go first as it has the highest degree.
Up next will be '-3x', as it has a degree of 1.
After this, we have 6, having a degree of 0.

Let's set up our new polynomial with this information;
4[tex] x^{3} [/tex] - 3x + 6.

This is known as a cubic trinomial since it has three terms and has a degree of 3.

Your correct answer is "D.)"

I hope this helps!