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Quiz on Polynomials PART - 2

Authored by mvs sriharsha

Mathematics

10th Grade

Used 1+ times

Quiz on Polynomials PART - 2
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10 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

What is the number of zeroes of a linear polynomial?

1 zero

0 zeroes

2 zeroes

3 zeroes

2.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

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

3.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

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

4.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

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

5.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

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

6.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

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

7.

MULTIPLE CHOICE QUESTION

20 sec • 20 pts

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

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