Question

Subtract the polynomials: (6x2 - 4x + 5) - (3x3 - 5x2 + 6x - 2). Enter youranswer as a polynomial in descending order below, and use the caret() forexponents. For example, you would write 4x2 as 4x^2. was

Answer 1

Step 1

Expand the bracket

`\begin{gathered} (6x^3-4x+5)-(3x^3-5x^2+6x-2) \\ 6x^3-4x+5-3x^3+5x^2-6x+2^{}^{} \end{gathered}`

Step 2

Simplify further by combining like terms

`6x^3-3x^{3^{}}+5x^2-4x-6x+5+2^{}^{}`
`3x^3+5x^2-10x+7`

Hence the answer is 3x^3 + 5x^2-10x+7 in the required format as required.