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The biquadratic polynomial from the following is ______
- a)(x2 + 3)(x2 - 3)
- b)x2 - 7
- c)x7 + x6 + x5
- d)5x - 3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The biquadratic polynomial from the following is ______a)(x2+ 3)(x2- 3...
A biquadratic polynomial has highest power 4.
Hence, the polynomial with the highest power as 4 is x4 - 9 or (x2 + 3)(x2 - 3).
Hence, the polynomial with the highest power as 4 is x4 - 9 or (x2 + 3)(x2 - 3).
Most Upvoted Answer
The biquadratic polynomial from the following is ______a)(x2+ 3)(x2- 3...
A biquadratic polynomial has highest power 4.
Hence, the polynomial with the highest power as 4 is x4 - 9 or (x2 + 3)(x2 - 3).
Hence, the polynomial with the highest power as 4 is x4 - 9 or (x2 + 3)(x2 - 3).
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The biquadratic polynomial from the following is ______a)(x2+ 3)(x2- 3...
Factorization of biquadratic polynomial
Factors of a biquadratic polynomial are the expressions that multiply together to give the polynomial.
Given polynomial: (x^2 + 3)(x^2 - 3)
Explanation:
- To factorize a biquadratic polynomial, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).
- In this case, we have x^2 + 3 and x^2 - 3, which can be expressed as (x^2 + √3)(x^2 - √3) by applying the difference of squares formula.
- Therefore, the factorization of the given biquadratic polynomial is (x^2 + 3)(x^2 - 3).
Therefore, the correct answer is option 'A' - (x^2 + 3)(x^2 - 3).
Factors of a biquadratic polynomial are the expressions that multiply together to give the polynomial.
Given polynomial: (x^2 + 3)(x^2 - 3)
Explanation:
- To factorize a biquadratic polynomial, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).
- In this case, we have x^2 + 3 and x^2 - 3, which can be expressed as (x^2 + √3)(x^2 - √3) by applying the difference of squares formula.
- Therefore, the factorization of the given biquadratic polynomial is (x^2 + 3)(x^2 - 3).
Therefore, the correct answer is option 'A' - (x^2 + 3)(x^2 - 3).
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The biquadratic polynomial from the following is ______a)(x2+ 3)(x2- 3)b)x2- 7c)x7+ x6+ x5d)5x - 3Correct answer is option 'A'. Can you explain this answer?
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