Question

Find a quadratic polynomial the sum and product of Whose zeros r -7 and -18 respectively

Answer 1

Answer:

Step-by-step explanation:

α = -7

β = -18

General form of any quadratic equation x² - (α + β) x + αβ = 0

Sum of zeros (α + β) = -7-18

= -25

Product of zeros (α β) = -7 * -18

= 126

Now let us write the quadratic equation with sum and product of zeros.

x² - (-25)x + (126) = 0

x² + 25x + 126 = 0

Answer 2

Answer:

x^{2} + 25x + 126

Step-by-step explanation:

take α=  -7

β= -18

use the formula x^{2} -(α+β)x +(α*β)

which will give you x^{2} - (-7-18)x +(7*18)

                               x^{2} + 25x + 126

There you go!!