Factor the given polynomial. 15x^2+7x-4

Factor the given polynomial.
$15{x}^{2}+7x-4$
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Step 1
$a{x}^{2}+bx+c$
i) Multiply the highest degree and lowest degree coefficient i.e. a and c
ii) Add or subtract two numbers to find the coefficient b such that multiplication of these two give the multiplication from step i)
iii) write in factorization form by taking common part out from the polynomial
Step 2
Given polynomial
$15{x}^{2}+7x-4$
$15{x}^{2}+12x-5x-4\dots \dots \dots ..\left[12\cdot \left(-5\right)=15\cdot \left(-4\right)\right]$
$3x\left(5x+4\right)-1\left(5x+4\right)$
$\left(3x-1\right)\left(5x+4\right)$