Question

find the quadratic polynomial whose zeroes are -2 and -5 verify the relationship between zeroes and coefficient of the polynomial​

Answer 1

Step-by-step explanation:

two zeroes are -2 and -5

now

$\alpha + \beta = \frac{ - b}{a}$

so

-5-2= -7

and

$\alpha \times \beta = \frac{c}{a}$

so

-5*-2=10

so the polynomial will be

${x}^{2} + 7x + 10$

proof

X2+2x+5x+10=O

x(x+2)+5(x+2)

(x+2)(x+5)

x= -2,-5

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