Question

from the quadratic equation form the roots -3 and -5​

Answer 1

Answer:

x² + 8x + 15 = 0

Step-by-step explanation:

Given that α = -3 and ß = -5

WKT…

x²- (α+ß)x + αß = 0

x² - (-3 + -5)x + (-3 x -5) = 0

x² - (-8)x + (15) = 0

x² + 8x + 15 = 0

I hope this helps you

…hk✌️

Answer 2

Step-by-step explanation:

Given α = -3 And β = -5

General Formula when they gave 2 roots and asked to find the quadratic polynomial

${x}^{2} - ( \alpha - \beta )x + \alpha \beta$

Now,

${x}^{2} - ( - 3 - ( - 5)) + ( - 3)( - 5)$

Next Step:

${x}^{2} - (2)x + 15$

The above is the Quadratic Polynomial ..

Hope it helps you