Question

2. The zeroes of the polynomial f(x) = 5x2
– 14x + 8 are:

Answer 1

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Answer 2

SoluTion :-

GiVen

f(x) = 5x² - 14x + 8

Now we have to make f(x) = 0

★By splitting the middle term

$\implies 5x^2 - 4x - 10x + 8 = 0$

★Grouping like terms

$\implies (5x^2 - 10x) + (-4x + 8) = 0$

$\implies 5x( x - 2) -4(x - 2) = 0$

$\implies (5x - 4)(x - 2) = 0$

So, two roots of x = 4/5 and 2