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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

parabola

Vedclass · Answer

(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..........

Similar Questions

Divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder in each of the following:
$p(x) = x^{3} - 3x^{2} + 5x - 3, \quad g(x) = x^{2} - 2$

Draw the graph of $p(x) = x^3$ and find the zeros of this polynomial.

Draw the graph of $p(x) = x^{2} + x - 12$ and find the zeros of this polynomial.

Find the zeros of $p(x)=x^{3}-4 x$ and show them graphically.

The graph of linear polynomial $p(x) = 3x - 6$ intersects the $X$-axis at $\ldots......$

Vedclass Test Series

Exam Paper Generator

Online Exam Module