Question

Which of the following is/are in standard form of an algebraic expression?

• A. $15x^2+x^3+9x$
• B. $9x^2+6x+15$
• C. $7x^3+3x^{2}y+6xy+9x$
• D. $6x^3+x^4+5x^2$

Answer 1

Answer: (B), (C)

The correct options are
B $9x^2+6x+15$
C $7x^3+3x^{2}y+6xy+9x$

In an expression, if the terms are arranged in a manner such that the degrees of the terms are in descending order then the expression is said to be in standard form.
In $15x^2+x^3+9x$ and $6x^3+x^4+5x^2$ the degrees of the terms are not in descending order, so they are not in standard form.
While $9x^2+6x+15$ and $7x^3+3x^{2}y+6xy+9x$, degrees of the terms are in descending order.Hence, they are in standard form.