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Which of the equation roots are -3, 1,2?
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Which of the equation roots are -3, 1,2?
Identifying the Roots of an Equation
Explanation of the Solution
Therefore, the equation with roots -3, 1, and 2 is (x + 3)(x - 1)(x - 2), and the roots of this equation are indeed -3, 1, and 2.
- When given the roots of an equation, we can determine which equation it is by using the factored form.
- The factored form of an equation is written as (x - r1)(x - r2)(x - r3)...(x - rn), where r1, r2, r3,..., rn are the roots of the equation.
- For example, if the roots of an equation are -3, 1, and 2, the factored form would be (x + 3)(x - 1)(x - 2).
Explanation of the Solution
- The factored form of the equation with roots -3, 1, and 2 is (x + 3)(x - 1)(x - 2).
- To see why this is true, we can expand the factored form using FOIL or the distributive property.
- Expanding (x + 3)(x - 1)(x - 2) gives us x^3 - 3x^2 - 4x + 12, which is the equation with roots -3, 1, and 2.
- If we plug in -3, 1, and 2 for x in the equation x^3 - 3x^2 - 4x + 12, we get 0 for each value.
- This confirms that -3, 1, and 2 are indeed the roots of the equation.
Therefore, the equation with roots -3, 1, and 2 is (x + 3)(x - 1)(x - 2), and the roots of this equation are indeed -3, 1, and 2.
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Which of the equation roots are -3, 1,2?
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Which of the equation roots are -3, 1,2? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which of the equation roots are -3, 1,2? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the equation roots are -3, 1,2?.
Which of the equation roots are -3, 1,2? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which of the equation roots are -3, 1,2? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the equation roots are -3, 1,2?.
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