Podcast
Questions and Answers
What is the geometric meaning of the zeroes of a polynomial?
What is the geometric meaning of the zeroes of a polynomial?
- Minimum points of the polynomial
- Values of x where the polynomial crosses the x-axis (correct)
- Values that make the polynomial equal to zero only
- Maximum points of the polynomial
In the given text, when x = 3, what is the value of x^2 - 3?
In the given text, when x = 3, what is the value of x^2 - 3?
- 9
- 6
- 12
- 3 (correct)
What is the relationship between the sum and product of the zeroes of a quadratic polynomial?
What is the relationship between the sum and product of the zeroes of a quadratic polynomial?
- They are always equal
- Their sum and product are both zero
- The sum is equal to the coefficient of x and the product is equal to the constant term (correct)
- Their difference is equal to the coefficient of x
What is a possible quadratic polynomial with sum of zeroes as -3 and product of zeroes as 2?
What is a possible quadratic polynomial with sum of zeroes as -3 and product of zeroes as 2?
In the cubic polynomial p(x) = 2x^3 - 5x^2 - 14x + 8, if x = -2, what is the value of p(x)?
In the cubic polynomial p(x) = 2x^3 - 5x^2 - 14x + 8, if x = -2, what is the value of p(x)?
What is the relation between the sum and product of the zeroes of a cubic polynomial?
What is the relation between the sum and product of the zeroes of a cubic polynomial?
What is one possible quadratic polynomial that fits the conditions mentioned in Example 4?
What is one possible quadratic polynomial that fits the conditions mentioned in Example 4?
What are the zeroes of the quadratic polynomial x^2 + 3x + 2?
What are the zeroes of the quadratic polynomial x^2 + 3x + 2?
The quadratic polynomial given in the text is 3x^2 - 5x - 11.
The quadratic polynomial given in the text is 3x^2 - 5x - 11.
The sum of the zeroes of the quadratic polynomial 3x^2 - 5x - 11 is 3.
The sum of the zeroes of the quadratic polynomial 3x^2 - 5x - 11 is 3.
The product of the zeroes of the quadratic polynomial 3x^2 - 5x - 11 is -3.
The product of the zeroes of the quadratic polynomial 3x^2 - 5x - 11 is -3.
The zeroes of the quadratic equation x^2 - 2x - 8 are 4 and -2.
The zeroes of the quadratic equation x^2 - 2x - 8 are 4 and -2.
The sum of the zeroes of the quadratic polynomial 6x^2 - 3 - 7x is 6.
The sum of the zeroes of the quadratic polynomial 6x^2 - 3 - 7x is 6.
The product of the zeroes of the quadratic polynomial t^2 - 15 is -15.
The product of the zeroes of the quadratic polynomial t^2 - 15 is -15.
The quadratic polynomial 4u^2 + 8u has one zero as u = -1.
The quadratic polynomial 4u^2 + 8u has one zero as u = -1.
The sum of the zeroes of the quadratic equation 4s^2 - 4s + 1 is 0.
The sum of the zeroes of the quadratic equation 4s^2 - 4s + 1 is 0.
The product of the zeroes of the quadratic polynomial 3x^2 - x - 4 is -4.
The product of the zeroes of the quadratic polynomial 3x^2 - x - 4 is -4.
The sum of the coefficients of the quadratic polynomial x^2 - 2x - 8 is -10.
The sum of the coefficients of the quadratic polynomial x^2 - 2x - 8 is -10.
