Math, asked by nanditakamboj05, 9 months ago

find the coordinates of the point where the graph of the polynomial y= x² +x -6 intersect x axis
Please answer !!!​

Answers

Answered by AlluringNightingale
17

Answer:

(-3,0) and (2,0)

Solution:

Here,

The given equation is ;

y = x² + x - 6 .

We need to find the coordinates of the points of intersection of the given equation with the x-axis .

Now,

We know that , at x-axis the y-coordinate is zero .

Thus,

Putting y = 0 in the given equation ,

We have ;

=> y = x² + x - 6

=> 0 = x² + x - 6

=> x² + x - 6 = 0

=> x² + 3x - 2x - 6 = 0

=> x(x + 3) - 2(x + 3) = 0

=> (x + 3)(x - 2) = 0

=> x = - 3 , 2

Hence ,

The graph of the given polynomial will intersects the x-axis at the points (-3,0) and (2,0) .

Answered by nicki27
12

Answer:

Here's ur answer .....

Hope it helps you mate

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