Can someone explain this concept please

[faint perch]

Im almos done with my algebra class, but I feel like I dont understand Trinomials. The lesson specifics is Understanding Trinomials- leading coefficents of one. If anyone could help that would be great. Thanks in advance!

[tribal pond]

Let $x_1,x_2$ denote the roots of your Trinomial $T(x)$ with leading coefficient 1. Then
$$T(x)=(x-x_1)(x-x_2)$$

[night sedge]

Homelama

[tribal pond]

So in this case the roots are 1 and 9 and so
$$x^2-10x+9=(x-1)(x-9)$$

[night sedge]

Homelama

[solemn rune]

so the form is ax^2 + bx + c right (in ur case, a = 1, b = -10, c = 9)

you have to find two numbers such that

• they multiply to give 9
• add to give -10

[faint perch]

Thank you!