Question

find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and coefficient.6x²+19x+10​

Answer 1

Answer:

$\mathrm{Factor}\:6x^2+19x+10:\quad \left(3x+2\right)\left(2x+5\right)$

Step-by-step explanation:

$6x^2+19x+10$

$=\left(6x^2+4x\right)+\left(15x+10\right)$

$\mathrm{Factor \ out \ 2x \ from \ 6x^2+4x } : 2x(3x+2)$

$\mathrm{Factor \ out \ 5 \ from \ 5 + 10 } : 5(3x+2)$

$=2x\left(3x+2\right)+5\left(3x+2\right)$

$\mathrm{Factor\:out\:common\:term\:}3x+2$

$=\left(3x+2\right)\left(2x+5\right)$

Hope it Helps You

Eva*