Select the correct statements from the table.

for each expression, select the true statement in the table.

4x^3 -7x+2
this is a rational expression because the denominator contains a variable.
this is a polynomial with 3 terms.

3x^5+4x-6
this is a rational expression because the denominator contains a variable.
this is a polynomial with 4 terms.

(7x^2+3)(5x+1)
this is a rational expression because the denominator contains a variable. this is a polynomial with 4 terms.

9x^2-6x+1 divided by 5x+7
this is a rational expression because the denominator contains a variable.
this is a polynomial with 3 terms.

8x^4-x^3+6x^2-3x+9
this is a rational expression because the denominator contains a variable.
this is a polynomial with 5 terms.

9x²-6x+1 divided by 5x+7:

This is a rational expression because the denominator contains a variable.

This is a polynomial with 3 terms

Explanation:

The only statement that is true is:

9x²-6x+1 divided by 5x+7:

This is a rational expression because the denominator contains a variable.

This is a polynomial with 3 terms.

Variables are represented as 'letters' in mathematics. Since the equation is divided by 5x+7, this shows that the expression is rational i.e a fraction and the denominator 5x+7 contains a variable which is 'x'

The polynomial function here is the function at the numerator i.e 9x²-6x+1 and this contains 3terms. The three terms are 9x², -6x and 1.

step-by-step explanation:

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