Question

The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the product of p and q?

a. the coefficient of the x^2 term
b.the degree
c.coefficient of the x term
d.the constant

Answer 1

Answer: D is the correct option. The constant part of the trinomial will be equal to the product of p and q.

Explanation:

Given: Two binomials (x+p)and (x+q) such that they are multiplied to form a quadratic trinomial

`(x+p)(x+q)=x(x+q)+p(x+q)\text{[......distributive law]}\\\\=x^2+px+qx+pq\text{[........distributive law]}\\=x^2+(p+q)x+pq\text{[......combine like terms]}`

Here we can see the trinomial with three terms where first term is
`x^2` ,second term is (p+q)x and third term is the constant term with product of p and q.

Therefore, the constant part of the trinomial will be equal to the product of p and q.

Answer 2

"The constant" is the part of the trinomial among the following choices given in the question that will equal the product of p and q. The correct option among all the options that are given in the question is the fourth option or option "d". I hope that this is the answer that has actually come to your help.