Lesson Worksheet: Roots of Cubic Functions Mathematics • 10th Grade
In this worksheet, we will practice finding the roots of cubic functions with integer coefficients.
Q3:
Find the value of , given the set contains the zero of the function .
Q5:
Solve the equation .
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q6:
Determine the solution set of the equation in .
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- B
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- D
- E
Q7:
Solve .
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- B
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- D or
- E or
Q8:
Solve .
- A
- B or
- C
- D
- E or
Q9:
Find the solution set of in .
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- B
- C
- D
- E
Q10:
The figure shows the curve together with the line which has slope and passes through point .
Write a cubic polynomial whose roots are , , and 1.
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- E
Divide this polynomial by to get a quadratic that is a multiple of .
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- B
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- E
Since , determine in terms of .
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- B
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- E
Imagine changing the value of the slope so that the value of gets closer and closer to 1. When , the line will be tangent to the curve at the point . Determine the equation of the tangent to the curve at the point .
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- E