Factor the polynomial completely, and find all its zeros. State

aspifsGak5u

aspifsGak5u

Answered question

2021-12-06

Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero.
Q(x)=x2+2x+2

Answer & Explanation

deginasiba

deginasiba

Beginner2021-12-07Added 31 answers

Step 1
Given: The polynomial Q(x)=x2+2x+2,
To find: The zeros of the polynomial using factorization.
Step 2
Explanation:
Solving the given polynomial,
Q(x)=0
x2+2x+2=0
x2+2x+1+1=0
(x+1)2+1=0 [since (a+b)2=a2+2ab+b2]
(x+1)2=1
Here LHS is positive and RHS is negative so there is no value of x which satisfies the equation Q(x)=0,
Hence given polynomial has no root,
And factorization of the polynomial is not possible.
Answer: No Solution.

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