Question

Find the zeroes of the quadratic polynomial x²-2x-8 and verify the relationship between the zeroes and their coefficients
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Answer 1

Step-by-step explanation:

HEY MATE

ANSWERf(x)=x 2 −2x−8⇒f(x)=x 2 −4x+2x−8⇒f(x)=x(x−4)+2(x−4)]⇒f(x)=(x−4)(x+2)Zeros of f(x) are given by f(x) = 0⇒x 2 −2x−8=0⇒(x−4)(x+2)=0⇒x=4 or x=−2So, α=4 and β=−2∴ sum of zeros =α+β=4−2=2Also, sum of zeros = Coefficient of x 2 Coefficient of x