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What are the factors of x4+2x2+9?
- a)(x2+2x+3), (x2−2x+3)
- b)(x2+3), (x2−3)
- c)(x2+2x+3), (x2+2x+3)
- d)(x2+3), (x2+3)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3),...
Given equation is x4 + 2x2 + 9
We can rewrite this as,
(x2)2 + 6x2 + 9 − 4x2
⇒ (x2 + 3)2 − (2x)2
....Since a2 + 2ab + b2 = (a+b)2
⇒ x4 + 2x2 + 9 = (x2 − 2x + 3)(x2 + 2x + 3)
....Since a2 − b2 = (a+b)(a−b)
We can rewrite this as,
(x2)2 + 6x2 + 9 − 4x2
⇒ (x2 + 3)2 − (2x)2
....Since a2 + 2ab + b2 = (a+b)2
⇒ x4 + 2x2 + 9 = (x2 − 2x + 3)(x2 + 2x + 3)
....Since a2 − b2 = (a+b)(a−b)
Most Upvoted Answer
What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3),...
Given equation is x4 + 2x2 + 9
We can rewrite this as,
(x2)2 + 6x2 + 9 − 4x2
⇒ (x2 + 3)2 − (2x)2
....Since a2 + 2ab + b2 = (a+b)2
⇒ x4 + 2x2 + 9 = (x2 − 2x + 3)(x2 + 2x + 3)
....Since a2 − b2 = (a+b)(a−b)
We can rewrite this as,
(x2)2 + 6x2 + 9 − 4x2
⇒ (x2 + 3)2 − (2x)2
....Since a2 + 2ab + b2 = (a+b)2
⇒ x4 + 2x2 + 9 = (x2 − 2x + 3)(x2 + 2x + 3)
....Since a2 − b2 = (a+b)(a−b)
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Community Answer
What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3),...
-2x-3), (x2+2ix-3), (x2-2ix-3)
There are four possible factorizations of x^4+2x^2+9 using complex numbers. They are:
1) (x^2+3i)(x^2-3i)
2) (x^2-3i)(x^2+3i)
3) (x^2+2ix-3)(x^2-2ix-3)
4) (x^2-2ix-3)(x^2+2ix-3)
Note that all of these factorizations involve complex numbers because the polynomial x^4+2x^2+9 does not have any real roots.
There are four possible factorizations of x^4+2x^2+9 using complex numbers. They are:
1) (x^2+3i)(x^2-3i)
2) (x^2-3i)(x^2+3i)
3) (x^2+2ix-3)(x^2-2ix-3)
4) (x^2-2ix-3)(x^2+2ix-3)
Note that all of these factorizations involve complex numbers because the polynomial x^4+2x^2+9 does not have any real roots.
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Question Description
What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3), (x2−3)c)(x2+2x+3), (x2+2x+3)d)(x2+3), (x2+3)Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3), (x2−3)c)(x2+2x+3), (x2+2x+3)d)(x2+3), (x2+3)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3), (x2−3)c)(x2+2x+3), (x2+2x+3)d)(x2+3), (x2+3)Correct answer is option 'A'. Can you explain this answer?.
What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3), (x2−3)c)(x2+2x+3), (x2+2x+3)d)(x2+3), (x2+3)Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3), (x2−3)c)(x2+2x+3), (x2+2x+3)d)(x2+3), (x2+3)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the factors of x4+2x2+9?a)(x2+2x+3), (x2−2x+3)b)(x2+3), (x2−3)c)(x2+2x+3), (x2+2x+3)d)(x2+3), (x2+3)Correct answer is option 'A'. Can you explain this answer?.
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