Solution 2.3:7a

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m (Lösning 2.3:7a moved to Solution 2.3:7a: Robot: moved page)
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In the polynomial
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<center> [[Image:2_3_7a.gif]] </center>
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<math>1-x^{2}</math>, only the second term depends on
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<math>x</math>
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and, on account of the minus sign in front of that term, the whole expression is largest when the square
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<math>x^{2}</math>
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is least. The quadratic term
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<math>x^{2}</math>
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is least when
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<math>x=0</math>. The polynomial's largest value is equal to
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<math>1-0^{2}=1</math>.

Revision as of 11:07, 21 September 2008

In the polynomial \displaystyle 1-x^{2}, only the second term depends on \displaystyle x and, on account of the minus sign in front of that term, the whole expression is largest when the square \displaystyle x^{2} is least. The quadratic term \displaystyle x^{2} is least when \displaystyle x=0. The polynomial's largest value is equal to \displaystyle 1-0^{2}=1.

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