Question

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Answer 1

Hello BinibiningDel!

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

• Fill in the blanks.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

1. The process of finding the factors of a polynomial is known as factoring.
2. The factor that appears repeatedly in each term is known as the common factor.
3. A trinomial is an algebraic expression with three terms.
4. The constant term is definite in value.
5. 6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.
6. A polynomial doesn't have a fractional exponent.
7. $\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}$ is a polynomial.
8. A rational algebraic expression comes in the form of p/q where p & q are polynomials.
9. $\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}$ is a rational algebraic expression.
10. $\boxed{\bold{\dfrac{3x}{x+4}}}$ is the rational algebraic expression written in the simplest form.

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Answer 2

Step-by-step explanation:

Break down every term into prime factors. ...

Look for factors that appear in every single term to determine the GCF. ...

Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...

Multiply out to simplify each term.