Question

Express the answer in standard form.​

Answer 1

`x^4+5x^2+12x-31`

Standard form comes from thelargest exponent to the least from left to right.

Explanation:

FIRST Step: Get rid of the parentheses and combine like terms:

`(-5x^(4)+6x^(2) -43)+(6x^(4)-x^(2)+12x+12)`

=
`-5x^4+6x^2-43+6x^4-x^2+12x+12`

Step 2: Group all the terms in the left and right depending on their variables.

=
`-5x^4+6x^4+6x^2-x^2+12x-43+12`

Step 3: Now, combine like terms

`=-5x^4+6x^4+5x^2+12x-43+12`

`=x^4+5x^2+12x-43+12`

Step 4: Add and subtract the constants:

=
`x^4+5x^2+12x-31`

Step 5: Put the equation in standard form:

`=x^4+5x^2+12x-31`

Or the above equation can be expressed as this below:

`x^4+5x^2+12x^(1) -31x^(0)`

4 is the degree and 1 is the leading coefficient.