Question

Factorise the following by grouping the terms:
p²x² + (px² + 1)x + p

Answer 1

p²x² + (px² + 1)x + p
= p²x² + px³ + x + p
= (p²x² + px³) + (p + x)
= px²(p + x) + 1(p + x)
= (p + x)(px² + 1).