Synthesize chapter concepts, from polynomial vocabulary to formulating and graphing linear relationships.
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Checklist of learning outcomes.
Progressive difficulty questions.
What is the defining characteristic of a linear polynomial?
Guided problem based on End of Chapter Q8.
If the temperature of a liquid can be measured in Kelvin () and in Fahrenheit (), the linear relationship is given by the equation:
(i) Find the temperature in Fahrenheit if the liquid is . (ii) Find the temperature in Kelvin if the liquid is .
List the known values for both parts of the problem.
State the linear equation provided.
Substitute the knowns into the formula for both parts.
Show your arithmetic steps for both parts.
Provide the final numerical answers with units.
Briefly verify your math or units.
Free response based on EOC Q11.
Let and be two linear polynomials such that: (i) (ii) The polynomial cuts the x-axis at . (iii) The sum is equal to for all real .
Find the polynomials and .
State your final expressions for both polynomials.
Explain how you set up simultaneous equations to find a, b, c, and d.