Question

40+3p-p^2 factorize it​

Answer 1

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40 + 3p -p²

Final result :
(p + 5) • (p - 8)

$we \: \: can \: \: write \: \: as.....$
p2 - 8p + 5p - 40

p (p-8) +5(p-8)

(p + 5) • (p - 8)___answer
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Answer 2

Answer:

$\large p(x)=(5+p)(8-p)$

Step-by-step explanation:

Given :

$\large p(x)=40+3p-p^2$

We have to factorize it.

By splitting mid term method

$\large p(x)=40+3p-p^2\\\\\\\large p(x)=40+8p-5p-p^2\\\\\\\large p(x)=8(5+p)-p(5+p)\\\\\\\large p(x)=(5+p)(8-p)$

Now for zeroes of p ( x )

$\large p(x)=(5+p))8-p)=0\\\\\\\large (5+p)=0 \ or \ (8-p)=0\\\\\\\large p=-5 \ or \ p=8$

Thus we get answer