Practice Geometrical Meaning Of The Zeroes Of A Polynomial (2.2)

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6 sample questions

Question 1.
What is the zero of the linear polynomial y = 3x - 9?
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Set the expression equal to zero.
Question 2.
For the polynomial y = x + 5, find its zero.
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Use the formula -b/a.
3Question 3.
What is the primary definition of the zero of a polynomial?
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Think of where the graph meets the horizontal axis.
4Question 4.
How many zeroes can a cubic polynomial have?
- 1
- 2
- 3
- 4
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Consider the maximum degree of a polynomial.
Question 5.
For the polynomial y = 5x⁴ - 3x³ + 2x² - 1, describe how you would estimate the number of zeroes using a graph.
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The degree of the polynomial limits the maximum number of zero crossings.
Question 6.
Explore how changing coefficients in y = ax² + bx + c can affect the number of zeroes. Provide examples.
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Use the discriminant to classify the nature of the roots.

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