Question

The sum of zero of polynomials 5x square -7x+ 2

Answer 1

Answer:

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5x^2-7x+2

by middle term splitting.

5x^2-5x-2x+2

5x(x-1)-2(x-1)

(5x-2)(x-1)

one of the term should be zero.

5x-2=0

5x=2

x=2/5

x-1=0

x=1

therefore zeroes are- 2/5 and 1.

2/5+1= (2+5)/5= 7/5.

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Answer 2

Answer:

$5 {x}^{2} - 7x + 2 \\ = 5 {x}^{2} - 5x - 2x + 2 \\ = 5x(x - 1) - 2(x - 1) \\ = ( x - 1)(5x - 2) \\ if \\ x - 1 = 0 \\ x = 1 \\ if \\ 5x - 2 = 0 \\ x = \frac{2}{5} \\ \alpha = 1 \\ \beta = \frac{2}{5} \\ sum \: of \: zeroes = \alpha + \beta \\ 1 + \frac{2}{5} \\ = \frac{7}{5}$

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