Question

find the zeros of quadratic polynomial 3xsquare+5x-2

Answer 1

$\bf{Question}$ :- Find the zeroes of the quadratic polynomial 3x^2 +5x-2 .

$3 {x}^{2} + 5x - 2 = 0$

$\bf{ \red{step \: 1 - }decide \: the \: factors}$

$3 \times 2 = 6 = 6 - 1$

Here, we will not take 2+3 =5 because our constant term 2 has a minus sign, so we will take the factors that come in subtraction.

$\bf{ \blue{step \: 2 - }solve \: by \: middle \: term \: splitting}$

$3 {x}^{2} + (6 - 1)x - 2 = 0$

$3 {x}^{2} + 6x - x - 2 = 0$

$3x(x + 2) - 1(x + 2) = 0$

$(3x - 1)(x + 2) = 0$

$3x - 1 = 0$

$x = \frac{1}{3}$

$x + 2 = 0$

$x = - 2$

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$\textbf{So two zeroes are 1/3 and -2}$

$\huge{\bf{Hope\:it\:helps}}$