Consider the given polynomial #10; #10; #160; 3x^2+14x+15 #10; #10; #10; #160; #10;3x^2+9x+5x+15 #10; #10; #160; 3x( x+3 ...

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Roots of Quadratic Equation

Find x : 3x2...

Question

Find x :
$3 x^{2} + 14 x + 15$

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Solution

Consider the given polynomial

$3 x^{2} + 14 x + 15$

$3 x^{2} + 9 x + 5 x + 15$

$3 x (x + 3) + 5 (x + 3)$

$(3 x + 5) (x + 3)$

When,

$x + 3 = 0$

$x = - 3$

When,

$3 x + 5 = 0$

$x = - \frac{5}{3}$

Hence this is the answer

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