Question

draw the graph of the polynomial 3 X square + 5 x minus 2 find the zeros and justify your answer​

Answer 1

Answer:

x=-1

Step-by-step explanation:

• 3xsquare+5x+2=0. (3x+2) (1x+1)=0 3xsquare+(1)3x+(2)x+(1) (2)=0 3x+2=0+3x= -2 x= -2/3. x+1=0. x= -1

Answer 2

The zeros are (-2,0),(0.333,0).

Step-by-step explanation:

Given : Polynomial $3x^2+5x-2$

To find : Draw the graph of the polynomial and find the zeros ?

Solution :

Polynomial $3x^2+5x-2$

The zeros of the polynomial are given by,

$3x^2+5x-2=0$

Solve by quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=3, b=5 and c=-2

$x=\frac{-5\pm\sqrt{5^2-4(3)(-2)}}{2(3)}$

$x=\frac{-5\pm\sqrt{49}}{6}$

$x=\frac{-5\pm7}{6}$

$x=\frac{-5+7}{6},\frac{-5-7}{6}$

$x=0.333,-2$

Refer the attached figure below.

The zeros in the graph is given by the point where graph cut the x-axis i.e. (-2,0),(0.333,0).

#Learn more

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