Question

Select from the matches below to correctly complete the statements. I'll give brainliest to someone with correct answer!

Answer 1

Answer:

The correct matches as follows :

1) The product of a linear monomial and a linear monomial is a - quadratic monomial

2) The product of a quadratic monomial and a quadratic trinomial is a - quartic trinomial

3) The product of a linear monomial and a linear binomial - Quadratic binomial

Step-by-step explanation:

The correct matches as follows :

1) The product of a linear monomial and a linear monomial is a - quadratic monomial

Monomial is a linear expression having only term with degree 1 (variable)

• For Example : Let x and y be two monomials which is linear
• If we product the two linear monomials we get
• $x\times x=x^2$ which is a quadratic monomial

2) The product of a quadratic monomial and a quadratic trinomial is a - quartic trinomial

For example : Let $x^2$ be the Quadratic monomial has one term with degree 2 and $x^2+2x+3$ be the quadratic trinomial ( has 3 terms with degree)

• If we product the quadratic monomial and quadratic trinomial we have
• $x^2\times (x^2+2x+3)=x^2(x^2)+x^2(2x)+x^2(3)$

• $=x^4+2x^3+3x^2$
• Therefore $x^2(x^2+2x+3)=x^4+2x^3+3x^2$ which is a quartic trinomial has degree 4 with three terms

3) The product of a linear monomial and a linear binomial - Quadratic binomial

For example : Let x be the linear monomial and $x^2+5$ be the linear binomial has two terms with degree 1

• If we product the linear monomial and quadratic binomial we get
• $x\times (x+5)=x(x)+x(5)$
• $=x^2+5x$

• Therefore $x\times (x+5)=x^2+5x$ which is a quadratic binomial with degree 2