ACTIVITY 3: TEST YOURSELF!
Direction: Consider the given polynomial equations and identify the degree, leading coefficient and the constant term.
Polynomial Equation
1. x³ + 4x²-3x+12 = 0
2. 2x⁴ + 3x³ - 4x² + 6x - 8 = 0
3. 3x + 4x³- 2 + 3x² = 0
4. (x³+ 1) (x²- 3) = 0
5. x(x+3) (x - 2) = 0
DEGREE LEADING CONSTANT
COEFFICIENT TERM
Direction: Consider the given polynomial equations and identify the degree, leading coefficient and the constant term.
Polynomial Equation
1. x³ + 4x²-3x+12 = 0
2. 2x⁴ + 3x³ - 4x² + 6x - 8 = 0
3. 3x + 4x³- 2 + 3x² = 0
4. (x³+ 1) (x²- 3) = 0
5. x(x+3) (x - 2) = 0
DEGREE LEADING CONSTANT
COEFFICIENT TERM
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Answer:
Here are the degrees, leading coefficients, and constant terms for the given polynomial equations:
1. x³ + 4x² - 3x + 12 = 0
- Degree: 3
- Leading Coefficient: 1
- Constant Term: 12
2. 2x⁴ + 3x³ - 4x² + 6x - 8 = 0
- Degree: 4
- Leading Coefficient: 2
- Constant Term: -8
3. 3x + 4x³ - 2 + 3x² = 0
- Degree: 3
- Leading Coefficient: 4
- Constant Term: -2
4. (x³ + 1)(x² - 3) = 0
- The degrees, leading coefficients, and constant terms should be identified for each factor separately.
For x³ + 1:
- Degree: 3
- Leading Coefficient: 1
- Constant Term: 1
For x² - 3:
- Degree: 2
- Leading Coefficient: 1
- Constant Term: -3
5. x(x + 3)(x - 2) = 0
- The degrees, leading coefficients, and constant terms should be identified for each factor separately.
For x:
- Degree: 1
- Leading Coefficient: 1
- Constant Term: 0
For x + 3:
- Degree: 1
- Leading Coefficient: 1
- Constant Term: 3
For x - 2:
- Degree: 1
- Leading Coefficient: 1
- Constant Term: -2
Degree, Leading term, Constant term
3, 1, 12
4, 2, -8
3, 4, -2
5, 1, -3
2, 1, 0