Question 81 (v)

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$2 p^{4} - 3 p^{3} + p^{2} - 5 p + 7, - 3 p^{4} - 7 p^{3} - 3 p^{2} - p - 12$

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Solution

We have,
$(2 p^{4} - 3 p^{3} + p^{2} - 5 p + 7) + (- 3 p^{4} - 7 p^{3} - 3 p^{2} - p - 12)$
$= 2 p^{4} - 3 p^{3} + p^{2} - 5 p + 7 - 3 p^{4} - 7 p^{3} - 3 p^{2} - p - 12$
$= (2 p^{4} - 3 p^{4}) + (- 3 p^{3} - 7 p^{3}) + (p^{2} - 3 p^{2}) + (- 5 p - p) + (7 - 12)$
[grouping like terms]
$= - p^{4} - 10 p^{3} - 2 p^{2} - 6 p - 5$

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Question 81 (v)

Add :

$2 p^{4} - 3 p^{3} + p^{2} - 5 p + 7, - 3 p^{4} - 7 p^{3} - 3 p^{2} - p - 12$

2 p^{4} - 3 p^{3} + p^{2} - 5 p + 7, - 3 p^{4} - 7 p^{3} - 3 p^{2} - p - 12

7 p^{2} - 2 p + 6

2 p^{2} - 2 p + 3

3 p^{2} - 5 p + 2

(p^{2} + 5 p + 4) \div (p + 1)

(p + 8) (p - 3)

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