Question

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

Answer 1

divider= p+1

quotient =p+4

remainder=0

Answer 2

Answer:

p = -1 & -4

Step-by-step explanation:

p² + 5p + 4

a = 1, b = 5, c = 4

b² - 4ac ≥ 0

(5)² - 4 × 1 × 4

25 - 16

9 ≥ 0

p = -b ± √(b² - 4ac) / 2a

p = -5 ± √9 / 2 × 1

p = -5 + 3 / 2

p = -2 / 2

p = -1

or

p = -5 - 3 / 2

p = -8 / 2

p = -4

and

(p² + 5p + 4) / (p + 1) = 0

a = bq + r

a = (p + 1) × (p + 4) + 0

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

a = p² + 4p + 1p + 4

a = p² + 5p + 4

L. H. S. = R. H. S.

Hence proved.....