Answer:
The Standard form of a polynomial is in the form of:
[tex]a_nx^n+a_{n-1}x^{n-1}+.....+a_2x^2+a_1x+a_0[/tex]
i.e, the highest exponent goes first until the last term with the lowest exponent.
Degree of a polynomial is the highest exponent, and the coefficient of this term is the leading coefficient. The constant term is the one without an x variable.
Simplify: [tex](5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)[/tex]
Remove the parentheses we get;
[tex]5x^3 + 3x^2 - 7x + 10 - 3x^3 + x^2 - 4x + 1[/tex]
Combine like terms, we get;
[tex]2x^3 + 4x^2 - 11x + 11[/tex]
Standard form of a polynomial = [tex]2x^3 + 4x^2 - 11x + 11[/tex] [descending exponent ]
Degree of a polynomial(i.,e highest exponent is from [tex]2x^3[/tex]) is, 3
Number of terms = 4 .
