document.write( "Question 613334: What is a cubic polynomial function in standard form with zeros 4, 2, and 4? \n" ); document.write( "

Algebra.Com's Answer #385978 by htmentor(1343) $\"\"$ $\"About$

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What is a cubic polynomial function in standard form with zeros 4, 2, and 4?
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\n" ); document.write( "Zeros at 4, 4 and 2 means the function can be factored as:
\n" ); document.write( "(x-2)(x-4)^2 = 0
\n" ); document.write( "Multiply and collect terms
\n" ); document.write( "(x-2)(x^2 - 8x + 16) -> x^3 - 8x^2 + 16x - 2x^2 + 16x - 32 -> x^3 - 10x^2 + 32x - 32
\n" ); document.write( "So the function in standard form is
\n" ); document.write( "x^3 - 10x^2 + 32x - 32
\n" ); document.write( "The graph is below:
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E3+-+10x%5E2+%2B+32x+-+32%29\"$
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