Use a calculator to determine the nature (real or complex) and approximate values of the roots of x3+x+1=0 to three decimal places.
Use a calculator to approximate the real roots of 2x3+x2−4x−2=0 to three decimal places.
Find all roots of x3+3x2+3x+1=0 by recognizing it as a binomial expansion and verify with technology.
Polynomial root finding using technology.
Determine, with the aid of technology, the number of real roots of x4−5x2+4=0 and find their approximate values.
Find the roots of the equation x3−7x−6=0 using an analytical method and verify the results.
Employ a CAS to solve 2x4−x3−7x2+3x+2=0 and list all roots to three decimal places.
Algebra - Solving polynomial equations using technology.
Use technology to find all roots of 3x3−x2−12x+4=0, giving exact values when possible and decimal approximations otherwise.
Use a graphing tool to approximate the real root of 5x3+x−1=0 in the interval [0,1] to four decimal places.
Determine, using a graphing calculator, all roots of x4−x3−x2+x+1=0 and give their values to three decimal places.
Use a graphing calculator to find all real roots of the equation 5x3−11x2−9x+9=0 to two decimal places.
Use technology to approximate the roots of x3−x2+x−1=0 and classify them as real or complex.
Use a computer algebra system to find all roots (real and complex) of 5x3−11x2−9x+9=0, expressing complex roots in a+bi form.
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Question Type 2: Formulating and solving a system of linear equations from a worded context
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Question Type 4: Constructing, converting and solving Polynomial equations using technology
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