Question

Select the correct statements from the table.

Answer 1

Answer:

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.

Answer 2

Answer:

Step-by-step explanation:

a)$4x^3 -7x+2$

This is not a rational expression.

This is a polynomial with 3 terms.  

b)$3x^5+4x-6$

This is not a rational expression because the denominator is constant =1

This is a polynomial with 3 terms.

c)$(7x^2+3)(5x+1)$

This is not  a rational expression because the denominator =1, a constant. This is a polynomial with 4 terms.

d)$9x^2-6x+1 divided by 5x+7$

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

e) $8x^4-x^3+6x^2-3x+9$

This is not a rational expression because the denominator contains a constant 1

This is a polynomial with 5 terms.