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TMUA Polynomial Functions — practice questions

Explore 29 free Polynomial Functions questions in TMUA Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Polynomial Functions questions and exercises with answers

Showing questions 1–29 of 29.

A student writes the conjugate of 3 plus 4i. She keeps the real part and changes the sign of the:Read the answer and worked solution →Multiplying 2 plus 5i by its own conjugate always produces a number that is:Read the answer and worked solution →The U-shaped curve produced by graphing a quadratic function is called a:Read the answer and worked solution →A quadratic function is described as a function whose degree is:Read the answer and worked solution →A parabola with a negative leading coefficient opens downward, so its vertex gives a:Read the answer and worked solution →Any real number may be substituted into a quadratic, so its domain is all numbers that are:Read the answer and worked solution →What a graph does as inputs grow very large or very small is called its end:Read the answer and worked solution →The end behaviour of any polynomial matches that of its term of highest:Read the answer and worked solution →A point where a graph changes from increasing to decreasing is a:Read the answer and worked solution →A graph that can be drawn without lifting the pen from the paper is described as:Read the answer and worked solution →A graph with no sharp corners anywhere along it is described as:Read the answer and worked solution →A factor appearing three times in a factored polynomial gives that zero a:Read the answer and worked solution →A graph touches the x-axis at a zero and bounces back. That zero has multiplicity that is:Read the answer and worked solution →A graph crosses straight through the x-axis at a zero. That zero has multiplicity that is:Read the answer and worked solution →A polynomial takes a negative value at 3 and a positive value at 4, so between them it must:Read the answer and worked solution →For a rational zero, numerators come from factors of the constant term and denominators from factors of the:Read the answer and worked solution →A polynomial with real coefficients has 2 plus 3i as a zero, so it must also have as a zero:Read the answer and worked solution →A vertical line that a graph rushes towards but never crosses is a vertical:Read the answer and worked solution →A horizontal line that a graph approaches as inputs grow without bound is a horizontal:Read the answer and worked solution →A single point where a rational graph is undefined, shown by an open circle, is a hole or removable:Read the answer and worked solution →A rule counting sign changes to bound the number of positive real zeros belongs to:Read the answer and worked solution →Catch the graph wordsRead the answer and worked solution →Pop the parabola wordsRead the answer and worked solution →Run the function gatesRead the answer and worked solution →Slice the maths wordsRead the answer and worked solution →Touches or crossesRead the answer and worked solution →Sort the maths wordsRead the answer and worked solution →Type the numberRead the answer and worked solution →Functions bingoRead the answer and worked solution →

Worked practice questions

A student writes the conjugate of 3 plus 4i. She keeps the real part and changes the sign of the:

  1. Imaginary part
  2. Integral part
  3. Interval part
  4. Inverted part
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Correct answer: A. Imaginary part

1. Conjugating leaves the real number untouched. 2. Only the term carrying i is flipped. 3. So the sign of the imaginary part changes, giving 3 minus 4i. _Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._

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Multiplying 2 plus 5i by its own conjugate always produces a number that is:

  1. Even
  2. Real
  3. Zero
  4. Odd
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Correct answer: B. Real

1. The cross terms in i cancel one another. 2. What survives has no imaginary part left. 3. The product is a real number. _Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._

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The U-shaped curve produced by graphing a quadratic function is called a:

  1. Parabola
  2. Pentagon
  3. Peninsula
  4. Perimeter
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Correct answer: A. Parabola

1. Every quadratic graph has the same overall shape. 2. It curves symmetrically about a single turning point. 3. That curve is a parabola. _Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._

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