Question

Write the polynomial 4x2 - 6x6 + 2x3 + 12 - 5x3 + 4x4 in standard form.

Answer 1

`\large\boxed{-6x^6+4x^4-3x^3+4x^2+12}`

Explanation:

`4x^2-6x^6+2x^3+12-5x^3+4x^4\\\\=-6x^6+4x^4+2x^3-5x^3+4x^2+12\qquad\text{combine like terms}\\\\=-6x^6+4x^4+(2x^3-5x^3)+4x^2+12\\\\=-6x^6+4x^4-3x^3+4x^2+12`