18 Questions
What is the geometric meaning of the zeroes of a polynomial?
Values of x where the polynomial crosses the x-axis
In the given text, when x = 3, what is the value of x^2 - 3?
3
What is the relationship between the sum and product of the zeroes of a quadratic polynomial?
The sum is equal to the coefficient of x and the product is equal to the constant term
What is a possible quadratic polynomial with sum of zeroes as -3 and product of zeroes as 2?
x^2 + 3x + 2
In the cubic polynomial p(x) = 2x^3 - 5x^2 - 14x + 8, if x = -2, what is the value of p(x)?
-16
What is the relation between the sum and product of the zeroes of a cubic polynomial?
Their product is equal to the constant term in the polynomial
What is one possible quadratic polynomial that fits the conditions mentioned in Example 4?
-x^2 + 4x + 6
What are the zeroes of the quadratic polynomial x^2 + 3x + 2?
-1 and -2
The quadratic polynomial given in the text is 3x^2 - 5x - 11.
False
The sum of the zeroes of the quadratic polynomial 3x^2 - 5x - 11 is 3.
False
The product of the zeroes of the quadratic polynomial 3x^2 - 5x - 11 is -3.
True
The zeroes of the quadratic equation x^2 - 2x - 8 are 4 and -2.
False
The sum of the zeroes of the quadratic polynomial 6x^2 - 3 - 7x is 6.
False
The product of the zeroes of the quadratic polynomial t^2 - 15 is -15.
True
The quadratic polynomial 4u^2 + 8u has one zero as u = -1.
True
The sum of the zeroes of the quadratic equation 4s^2 - 4s + 1 is 0.
True
The product of the zeroes of the quadratic polynomial 3x^2 - x - 4 is -4.
False
The sum of the coefficients of the quadratic polynomial x^2 - 2x - 8 is -10.
True
This quiz challenges you to find a quadratic polynomial based on the sum and product of its zeroes. Test your understanding of forming quadratic polynomials using the relationships between zeroes and coefficients. Explore different scenarios in this practice exercise.
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