Question

Factorise and divide this as directed (p² + 5p - 6) ÷ (p - 1) Explain it fully​

Answer 1

Step-by-step explanation:

$( \: p ^{2} + 5p - 6) \div (p - 1)$

$= p ^{2} + 5p - 6$

$= p(p - 1) - 4p - 6$

$= p(p - 1) - 4(p - 1) + 2$

$=( p - 4)(p - 1)(2)$

Dividend = Quotient × Divisor + Remainder

p ^{2} + 5p - 6 = ( p - 4 ) ( p - 1 ) × 2