Question

Select the correct text in the table. Consider the following expression. Select the true statement.

Answer 1

1. The numerator has three terms.

2. The denominator includes a coefficient of 2.

Explanation:

We are given the following expression and we are to determine whether which of the given statements are true for it:

`\frac { -10 x ^ 2 + 5x + 3 } { 2x^2 + 4 }`

So the true statements for this expression are:

1. The numerator has three terms:

(
`-10x^2` ,
`5x` and
`3` are the three terms in the denominator of this expression)

2. The denominator includes a coefficient of 2:

(the first term of the denominator
`2x^(2)` has a coefficient of 2)

Answer 2

a)Numerator has 3 terms

c)Denominator includes a coefficient of 2

Explanation:

Given the expression in the question

-10x² + 15x + 3 / (2x² + 4)

1)

Numerator has 3 terms

Numerator is the upper part of fraction which in this case is -10x² + 15x + 3 and a term can be a signed number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by a + sign or - sign.

2)

Denominator includes a coefficient of 2

Denominator is the lower part of fraction which in this case is 2x² + 4 and coefficients are the constants by which the variables are being multiplied.