Question

What is the standard form of the polynomial (1,0,2,0,3) ?

Answer 1

Answer:

x4+3x3−4x2−12x

Explanation:

The standard form of a polynomial is when the polynomial is written as a sum of decreasing power of the variable, in this case

x

. The question has given us the information to write the factored version of the polynomial where it has been set equal to zero, i.e.:

(x+3)(x+2)(x)(x−2)=0

To get our polynomial in standard form, we need to multiply the factors out.

(x2+5x+6)(x)(x−2)=0

(x3+5x2+6x)(x−2)=0

x4+3x3−4x2−12x=0

so the standard form for our polynomial is

x4+3x3−4x2−12x

Step-by-step explanation:

hope it help