Knowee
Questions
Features
Study Tools

When the factors of a trinomial are (x - p) and (x - q) then the coefficient of the x-term in the trinomial is:A.The quotient of -p and -qB.The difference of -p and -qC.The product of -p and -qD.The sum of -p and -qSUBMITarrow_backPREVIOUS

Question

When the factors of a trinomial are (x - p) and (x - q) then the coefficient of the x-term in the trinomial is:A.The quotient of -p and -qB.The difference of -p and -qC.The product of -p and -qD.The sum of -p and -qSUBMITarrow_backPREVIOUS

🧐 Not the exact question you are looking for?Go ask a question

Solution

The correct answer is D. The sum of -p and -q.

Here's why:

When you multiply the factors of a trinomial, you get the trinomial itself. So, if the factors are (x - p) and (x - q), you multiply them to get the trinomial:

(x - p)(x - q) = x^2 - (p + q)x + pq

The coefficient of the x-term in the trinomial is the number that multiplies x, which in this case is -(p + q). But since p and q are subtracted in the factors, they become negative in the trinomial. So, the coefficient of the x-term is the sum of -p and -q.

This problem has been solved

Similar Questions

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-termB.The degreeC.The coefficient of the x2-termD.The constant termSUBMITarrow_backPREVIOUS

Factor the trinomial:

The expression below is the factorization of what trinomial?(7x + 5)(2x - 3)A.14x2 ­+ 2x + 15B.14x2 ­- 11x - 15C.14x2 ­+ 2x - 15D.14x2 ­- 11x + 15SUBMITarrow_backPREVIOUS

Factoring trinomials: 𝑥 2 + 𝑏 𝑥 + 𝑐 = ( 𝑥 + 𝑝 ) ( 𝑥 + 𝑞 ) x 2 +bx+c=(x+p)(x+q)

Which of the binomials below is a factor of this trinomial?6x2 - 5x - 25A.6x + 5B.2x + 5C.6x - 5D.2x - 5SUBMITarrow_backPREVIOUS

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.