Math, asked by coutinho140, 1 year ago

verify the relationship between the zeros and the coefficients of the polynomial x^2+7x+10

Answers

Answered by Anonymous
2
P(x)=x^2 +7x+ 10

p(x)=x^2+5x+2x+10

p(x)=x(x+5) + 2(x+5)

p(x)=(x+5)(x+2)

x=-5,x=-2.

Let alpha = -5 and beta = -2.

Sum of zeroes= -5+(-2)=-7.

Product of zeroes= -5 x -2 =10.

a=1,b=7,c=10.

-b/a=-7.

c/a=10.

Hence we can say that,

Sum of zeroes = -b/a=-7.

Product of zeroes = c/a =10.

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