Factorise: p 3 + 13p 2 + 32p + 20
Answers
Answer:
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Answer:
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Step by Step explanation:
By trial and eror method::
step1>> Firstly we have to see the constant term here which is 20.
Step2>> we have to find the factor of constant term
so here, 20- 1,2,4,5,10,20
Step3>> let's take (x+1) is factor of p³+13²+32p+20
step4>> if by taking any of the factor the result given is 0 then the factor of 20 is the equations factor..
let's solve it::
p+1=0
p= -1
Therefore, p(-1)= -1³ + 13(1)² + 32p + 20
= (-1) + 169 + 32(1) + 20
= 169 - 1 + 52
= 168+52=220
so (p-1) is not a factor of p³+13p²+32p+20..
In this way you can solve for (p+5)
p+5=0
p=-5
therefore, p(-5)= (-5)³+ 13(-5)² + 32 (-5) + 20
= -125+13(25)+(-160)+20
= -125+325-160+20
= 325-125-160+20
= 200-160+20
= 40+20=60
(p+5) is also not a factor..
Again by trial and eror method you can try for 4,5,10 and 20.