Factor each polynomial completely. If the polynomial cannot be factored,

elvishwitchxyp

elvishwitchxyp

Answered question

2021-12-15

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
3(x2+10x+25)4(x+5)

Answer & Explanation

Alex Sheppard

Alex Sheppard

Beginner2021-12-16Added 36 answers

Step 1
The given expression is,
3(x2+10x+25)4(x+5)
We need to factorize the given polynomial completely
On factoring the term x2+10x+25 we get
x2+10x+25=x2+5x+5x+25
=x(x+5)+5(x+5)
=(x+5)(x+5)
Step 2
On simplifying the given expression, we get
3(x2+10x+25)4(x+5)=3(x+5)(x+5)4(x+5)
=(x+5)[3(x+5)-4]
=(x+5)(3x+15-4)
=(x+5)(3x+11)
Therefore, the factorized form of the given expression is (x+5)(3x+11)
Archie Jones

Archie Jones

Beginner2021-12-17Added 34 answers

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