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Which algebraic expression is a polynomial?

Which algebraic expression is a polynomial?-example-1
User Rswolff
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2 Answers

5 votes

Answer:

Which algebraic expression is a polynomial?

–6x3 + x2 – StartRoot 5 EndRoot

Explanation:

just did the test on edg.

User Nikodaemus
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5.0k points
1 vote

Answer:

B.
-6x^3+x^2+√(5)

Explanation:

For an algebraic expression to be a polynomial it must have:

1)Variable

2)Constants

3) Exponents of variables which has to be whole number.

These can be combined by math operations except by division of variable

A.
4x^2-3x+(2)/(x)

Not a polynomial the last term is a division by variable. This disqualifies it to be a polynomial.

B.
-6x^3+x^2+√(5)

It is a polynomial as it has variables with positive exponents and a constant term.

C.
8x^2+√(x)

Not a polynomial the last term[
\sqrt x= x^{(1)/(2)}] has a variable with exponent which is not a whole number. This disqualifies it to be a polynomial.

D.
-2x^4+(3)/(2x)

Not a polynomial the last term is a division by variable. This disqualifies it to be a polynomial.

User Dick McManus
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5.4k points