The graph of p(x) = x^{2} + 5x + 6 is a...... | vedclass

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(D) The given polynomial is $p(x) = x^{2} + 5x + 6$.This is a quadratic polynomial of the form $ax^{2} + bx + c$,where $a = 1$,$b = 5$,and $c = 6$.The

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parabola

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(D) The given polynomial is $p(x) = x^{2} + 5x + 6$.This is a quadratic polynomial of the form $ax^{2} + bx + c$,where $a = 1$,$b = 5$,and $c = 6$.The graph of any quadratic polynomial $p(x) = ax^{2} + bx + c$ (where $a 
eq 0$) is always a curve known as a parabola.Since the coefficient of $x^{2}$ is positive $(a = 1 > 0)$,the parabola opens upwards.Therefore,the graph of $p(x) = x^{2} + 5x + 6$ is a parabola.

The graph of $p(x) = x^{2} + 5x + 6$ is a..........

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