Answer:
[tex]2x\³ + 3x\² = x(x\²) + (x- 2)\²[/tex] is not quadratic
Explanation:
Given
[tex]2x\³ + 3x\² = x(x\²) + (x- 2)\²[/tex]
Required
Determine if it is quadratic
We have:
[tex]2x\³ + 3x\² = x(x\²) + (x- 2)\²[/tex]
Open brackets
[tex]2x\³ + 3x\² = x^3 + x^2 - 4x + 4[/tex]
Collect like terms
[tex]2x\³ - x^3 + 3x\² -x^2 + 4x - 4=0[/tex]
[tex]x^3 + 2x\²+ 4x - 4=0[/tex]
A quadratic equation is represented as:
[tex]ax^2 +bx + c =0[/tex]
Hence:
[tex]x^3 + 2x\²+ 4x - 4=0[/tex] is not quadratic
