Quiz on Polynomials PART - 2

What is the number of zeroes of a linear polynomial?

• 1 zero

• 0 zeroes

• 2 zeroes

• 3 zeroes

According to Vieta's formulas, what is the sum of the zeroes of a quadratic equation?

• α + β = b/a

• α + β = a/c

• α + β = -b/a

• α + β = c/a

For a cubic polynomial, how is the product of the zeroes represented?

• α.β.γ = b/a

• α.β.γ = c/a

• α.β.γ = -d/a

• α.β.γ = a/d

What is the relationship between the zeroes and coefficients of a cubic equation?

• α + β + γ = c/a

• α + β + γ = a/b

• α + β + γ = -d/a

• α + β + γ = -b/a

If the zeroes of a quadratic equation are α and β, what is the quadratic equation formed?

• x² - (α + β)x + αβ = 0

• x² + (α + β)x + αβ = 0

• x² - (α - β)x + αβ = 0

• x² + (α - β)x + αβ = 0

What is the sum of the products of the zeroes taken two at a time for a cubic equation?

• αβ + βγ + γα = -b/a

• αβ + βγ + γα = -d/a

• αβ + βγ + γα = c/a

• αβ + βγ + γα = d/a

If the zeroes of a cubic equation are α, β, and γ, what is the equation formed?

• x³ - (α + β + γ)x² + (αβ + βγ + γα)x - αβγ = 0

• x³ + (α + β + γ)x² - (αβ + βγ + γα)x + αβγ = 0

• x³ - (α + β + γ)x² - (αβ + βγ + γα)x + αβγ = 0

• x³ + (α + β + γ)x² + (αβ + βγ + γα)x - αβγ = 0

What is the product of the zeroes for the cubic equation with zeroes α=2, β=-3, and γ=4?

• -12

• 24

• -24

• 12

What is the degree of a quadratic polynomial?

• 1

• 4

• 3

• 2

What is the relationship between the zeroes and coefficients of a quadratic equation?

• α + β = c/a

• α + β = -b/a

• αβ = -c/a

• αβ = b/a