1sec ≫First term ≫ Algebra ≫Unit 1 ≫ (1-1 ) solving quadratic equation in one variable.
(Q2)
Choose
The equation: \( (x - 3)(x + 4)(x - 1) = 0 \) is of what degree?
- First
- Second
- Third
- Fourth
(3).
Solution
1. Expand the equation to determine its degree.
2. \( (x - 3)(x + 4)(x - 1) = 0 \)
3. Multiplying the factors:
- First, \( (x - 3)(x + 4) = x^2 + x - 12 \)
- Then, \( (x^2 + x - 12)(x - 1) \)
4. The highest power of \( x \) in the resulting polynomial \( x^3 - x^2 - 13x + 12 \) is 3.
Therefore, the correct answer is: Third
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