2x² + 17x + 30
Let multiply the coefficient of x² and 30.
2 × 30 = 60
Finding the possible prime factors of 60.
2 × 2 × 3 × 5 = 60
Or we can also write it as
20 × 3 = 60
And we know, 20 + 3 = 17
Hence,
= 2x² + (20+3)x + 30
= 2x² + 20x + 3x + 30
= 2x(x + 10) + 3(x + 10)
= (2x + 3)(x+ 10)
=> x = -3/2 and -10