Problem 79 of 7
Find the missing coefficient from the given remainder: p(x)=3x^2+4x+c divided by x-3 has remainder 42.
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set p(a)=r and solve.
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Use Remainder Theorem with p(a)=given remainder.
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Solution
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1. Identify a from the divisor.
2. Evaluate p(a) in terms of the unknown coefficient.
3. Set p(a) equal to the stated remainder and solve.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Setting p(a)=0 unless the given remainder is zero.