Practice Relationship Between Zeroes And Coefficients Of A Polynomial (2.3)

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6 sample questions

Question 1.
Find the zeroes of the polynomial x^2 - 4x + 4.
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Look for perfect squares.
Question 2.
What is the sum of the zeroes of 3x^2 + 6x - 9?
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Use the formula for the sum of zeroes.
3Question 3.
What is the sum of the zeroes of the quadratic polynomial 2x^2 + 4x - 10?
- -4
- 4
- 0
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Refer to the formula for sum.
4Question 4.
True or False: A quadratic polynomial can have at most 2 zeroes.
- True
- False
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Consider the polynomial degree.
Question 5.
Show that for a cubic polynomial the sum of the zeroes and the sum of products concept applies for p(x)=x^3 - x^2 - 4x + 4.
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Use synthetic division to find zeroes.
Question 6.
Construct a quadratic polynomial with given zeroes 2 and -3, and verify the relationships.
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Use the standard polynomial form.

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