Question

verify relationships between zero and coefficients
×^2-7^×-8​

Answer 1

Step-by-step explanation:

First solve the quadratic equation and then by roots and coefficient verify the relationshios

Answer 2

x^2-7x-8

The relationship between the zero alpha and beta in a quadratic polynomial with the coefficient is:

alpha + beta = -b/a (b = Coefficient of x,a = coefficient of x^2)(1)

apha * beta  = c/a (c = constant,a = coefficient of x^2)(2)

Now let's find the zeroes with factorization method.

=>X^2-7x-8

x^2-8x+1x-8

x(x-8) + 1(x-8)

(x+1)(x-8)

Therefore the zeroes are -1 and 8 respectively:

Now from (1)

-1 + 8 = -(-7)/1

7 = 7

Now from (2)

-1 * 8 = -8/1

-8 = -8

Ans

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