Question

What is the coefficient form of the polynomial 3x^4 + 2x^4 - 4x^2 - 2 ?
(3, 2, -4, 0, -2)
(3, 2, -4, -2, 0)
(4, 4, -2, 0, -2)
(5, 0, -4, 0, -2)​

Answer 1

Answer:

option b is correct

Step-by-step explanation:

3,2,-4,-2

Answer 2

(D)$(5, 0, -4, 0, -2)$ is the coefficient form of the polynomial  

Given:

From the given question the Polynomial $\[3{{x}^{4}}+2{{x}^{4}}-4{{x}^{2}}-2\]$

To find:

The coefficient form of the polynomial  $\[3{{x}^{4}}+2{{x}^{4}}-4{{x}^{2}}-2\]$

Step-by-step explanation:

The coefficient is known as the number which is multiplied by a variable.

The number which is not multiplied by a variable is called a constant.

In the equation,  $\[3{{x}^{4}}+2{{x}^{4}}-4{{x}^{2}}-2\]$

3 and 2 have the same variable  so their coefficient is added. Then the equation becomes,$\[5{{x}^{4}}-4{{x}^{2}}-2\]$

The general polynomial equation for 4-degree polynomial is$\[{{x}^{4}}+{{x}^{3}+{{x}^{2}}+x^{} +c\]$

Hence the coefficient form of the polynomial $\[5{{x}^{4}}-4{{x}^{2}}-2\]$ is $(5, 0, -4, 0, -2)$ .