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

zakinutuzi

zakinutuzi

Answered question

2021-12-10

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
10x3+50x2+40x

Answer & Explanation

Jeremy Merritt

Jeremy Merritt

Beginner2021-12-11Added 31 answers

Step 1
let the given polynomial be y −
y=10x3+50x2+40x
Taking x as common,
y=x(10x2+50x+40)
Taking 10 as common,
y=10x(x2+5x+4)
y=10x[x2+x+4x+4]
y=10x[x(x+1)+4(x+1)]
y=10x[(x+1)(x+4)]
y=10x(x+1)(x+4)
Step 2
Hence,
10x3+50x2+40x=10x(x+1)(x+4)
So, the given polynomial is factored completely and it is not prime.

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