Practice Sum And Product Of Roots (2.7.1) - Algebra

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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the sum of roots for the polynomial x² - 5x + 6.
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Use the formula -b/a.
Question 2.
What is the product of roots for the polynomial 4x² + 8x + 3?
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Remember to use c/a.
3Question 3.
What is the formula for the sum of roots in a quadratic equation?
- α + β = -b/a
- α + β = c/a
- α + β = 0
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Think about how the coefficients are related to the roots.
4Question 4.
The product of the roots for the polynomial 6x² + 11x - 10 is?
- -10/6
- 10/6
- 5/3
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Use c and a values from the polynomial to find the answer.
Question 5.
Determine the values of k for the quadratic polynomial kx² + 3kx - 5 = 0 such that the sum of the roots equals 3.
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Use sum of roots to frame the equation involving k.
Question 6.
Prove that for the polynomial x² - 4x + 4 = 0, both roots are equal and explain how the relationships hold.
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Factor it and show the outcomes explicitly.

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