Question

Find the zeros of the polynomial x² + 7x +10 and verify the relationship between zeros and coefficients.​

Answer 1

Answer:

The zeros and coefficients are equal...

Step-by-step explanation:

a=1,b=7,c=10

now,

x²+7x+10

x²+5x+2x+10

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

(x+5)(x+2)

so the zeros are-5 & -2

let one zero be alpha and another be beta.

let alpha=-5 and beta = -2

alpha+beta= -5+-2= -7

alpha× beta=-5× -2= 10

As we know

alpha+beta = -(b/a)

-7= -(7/1)

-7=-7

similarly

alpha× beta= c/a

10= 10/1

10=10

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