The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )
<h3>Further explanation</h3>
Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
<h2>D = b² - 4 a c</h2>
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:
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Quadratic Equations
Keywords: Quadratic , Equation , Discriminant , Real , Number