What is the factored form of the polynomial?

x2 + 9x +20

(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

(C)(x + 4)(x + 5)

Step-by-step explanation:

The given equation in the form of polynomial is:

Factorizing the above given equation, we get

Taking x+5 common, we have

which is the required factorised form.

Therefore the factors of the given polynomial are .

Thus, Option (C) is correct.

The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

Given :

To factor this form, we first look for the following operations:

_ + _ = 9

_ × _ = 20

To fill in the blanks, the matching numbers are :

4 + 5 = 9

4 × 5 = 20

Next, the above equation can be factorized into:

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

d

step-by-step explanation:

d