Question

(
$(6x {}^{2} + 17x + 5$
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Answer 1

Solutions :-

=> 6x² + 2x + 15x + 5

= 2x • (3x+1) + 5 • (3x+1)

= (2x+5) • (3x+1)

=> 2x+5 = 0 or 3x+1 = 0

=> x = - 5/2 or x = - 1/3

I hope it helps you....

Answer 2

Factorise

$6 {x}^{2} + 17x + 5 \\ 6 {x}^{2} + 15 x + 2x + 5 \\ 3x(2x + 5) + 1(2x +5 ) \\ (3x + 1)(2x + 5)$

Roots of the given quadratic polynomial

$x = \frac{ - 1}{3} or \: \frac{ - 5}{2}$