Question

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) $5x^{2} +29x+20$ (ii) $x^{2} -5x$

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

i) 5x^2 + 29x + 20 =

= 5x^2 + 4x + 25x + 20

= x(5x + 4) + 5(5x + 4)

= (x + 5)(5x + 4)

the zeroes are x = - 5 and x = - 4 / 5.

S = - 5 - 4 / 5 = - 29 /5 which checks out.

P = (- 5)×(- 4 / 5) = 4 which also checks out.

ii) x^2 - 5x = x(x - 5)

the zeroes are x = 0 and x = 5

S = 0 + 5 = 5 which checks out

P = 0 × 5 = 0 which also checks out.