find the coordinates of the point where the graph of the polynomial y= x² +x -6 intersect x axis
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Answers
Answered by
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
12
Answer:
Here's ur answer .....
Hope it helps you mate
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