Q. 4 C3.9( 14 Votes )

# Factorize the expressions and divide them as directed:(p2 + 5p + 4) ÷ (p + 1)

In the given term

Dividend = (p2 + 5p + 4)

The given expression looks as

x2 + (a + b)x + ab

where a + b = 5; and ab = 4;

factors of 4 their sum

1 × 4 1 + 4 = 5

2 × 2 2 + 2 = 4

the factors having sum 5 are 4 and 1

(p2 + 5p + 4) = p2 + (4 + 1)p + 4

= p2 + 4p + p + 4

= p(p + 4) + 1(p + 4)

= (p + 1)(p + 4)

Divisor = (p + 1) =  = (p + 4)

Hence dividing (p2 + 5p + 4) by (p + 1) gives out (p + 4)

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