Question

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(i) x2 – 2x – 8
(ii) 4s2 – 4s + 1
(iii) 6x2 – 3 – 7x
(iv) 4u2 + 8u
(v) t2 – 15
(vi) 3x2 – x – 4​

Answer 1

Here's the required answer to your question

Answer 2

(i) x² - (4 - 2)x - 8

x² - 4x + 2x - 8

x(x-4) + 2(x - 4)

(x+2) (x-4) are the factors of given polynomial

Now, If x + 2 = 0

x= -2

and

If x - 4 = 0

x = 4

so, -2 and 4 are the zeroes of this polynomials.