Answer:
[tex]x^4+5x^2+12x-31[/tex]
Standard form comes from thelargest exponent to the least from left to right.
Step-by-step explanation:
FIRST Step: Get rid of the parentheses and combine like terms:
[tex](-5x^{4}+6x^{2} -43)+(6x^{4}-x^{2}+12x+12)[/tex]
= [tex]-5x^4+6x^2-43+6x^4-x^2+12x+12[/tex]
Step 2: Group all the terms in the left and right depending on their variables.
= [tex]-5x^4+6x^4+6x^2-x^2+12x-43+12[/tex]
Step 3: Now, combine like terms
[tex]=-5x^4+6x^4+5x^2+12x-43+12[/tex]
[tex]=x^4+5x^2+12x-43+12[/tex]
Step 4: Add and subtract the constants:
= [tex]x^4+5x^2+12x-31[/tex]
Step 5: Put the equation in standard form:
[tex]=x^4+5x^2+12x-31[/tex]
Or the above equation can be expressed as this below:
[tex]x^4+5x^2+12x^{1} -31x^{0}[/tex]
4 is the degree and 1 is the leading coefficient.
