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A cubic polynomial whose zeroes are -2 ,-3 and -1 is?
Most Upvoted Answer
A cubic polynomial whose zeroes are -2 ,-3 and -1 is?
The cubic polynomial is,
(x + 2)(x + 3)(x + 1) = 0
(x + 2)(x² + 4x + 3) = 0
x³ + 6x² + 11x + 6 = 0
(x + 2)(x + 3)(x + 1) = 0
(x + 2)(x² + 4x + 3) = 0
x³ + 6x² + 11x + 6 = 0
Community Answer
A cubic polynomial whose zeroes are -2 ,-3 and -1 is?
Polynomial with zeroes -2, -3 and -1
When a polynomial has zeroes, it means that those values of x make the polynomial equal to zero. If we know the zeroes of a polynomial, we can use them to find the equation of the polynomial. In this case, the zeroes are -2, -3 and -1.
Using the zero product property
The zero product property states that if ab = 0, then either a = 0 or b = 0. We can use this property to find the factors of the polynomial. If the factors are (x + a), (x + b) and (x + c), then their product is:
(x + a)(x + b)(x + c) = 0
Expanding the brackets:
x^3 + (a + b + c)x^2 + (ab + ac + bc)x + abc = 0
Since the polynomial has zeroes at -2, -3 and -1, we can write:
(x + 2)(x + 3)(x + 1) = 0
Expanding the brackets:
x^3 + 6x^2 + 11x + 6 = 0
The equation of the polynomial
Therefore, the polynomial whose zeroes are -2, -3 and -1 is:
x^3 + 6x^2 + 11x + 6
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A cubic polynomial whose zeroes are -2 ,-3 and -1 is?
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A cubic polynomial whose zeroes are -2 ,-3 and -1 is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A cubic polynomial whose zeroes are -2 ,-3 and -1 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cubic polynomial whose zeroes are -2 ,-3 and -1 is?.
A cubic polynomial whose zeroes are -2 ,-3 and -1 is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A cubic polynomial whose zeroes are -2 ,-3 and -1 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cubic polynomial whose zeroes are -2 ,-3 and -1 is?.
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