Question

(p²+10p+24)÷(p+4) divide and write the quotient and the remainder. ​

Answer 1

Hence,quotient=p+6

remainder=0

Answer 2

Step-by-step explanation:

$(p {}^{2} + 10p + 24) \\ \\ = p {}^{2} + (6 + 4)p + 24 \\ \\ = p {}^{2} + 6p + 4p + 24 \\ \\ = p(p + 6) + 4(p + 6) \\ \\ = (p + 6)(p + 4) \\ \\ \frac{p {}^{2} + 10p + 24}{p + 4 } \\ \\ = \frac{(p + 6)(p + 4)}{p + 4} \\ \\ = p + 6$