draw the graph of the polynomial p(x)=x^2-x-12 and find the zeros
Answers
Answer:
Answer:
The number of zeros of the polynomial function is determined by the number of points it intersects the x-axis
(i) p(x) = x² – x – 12
Here, the number of zeros are 2 and the zeros are the points where the graph of the polynomial intersects the x-axis.
Zeros are : (-3 , 0) and (4 , 0)
(ii) p(x) = x² – 6x + 9
Here, the graph of the polynomial intersects the x-axis at one point.
Zeros are : (3 , 0)
(iii) p(x) = x² – 4x + 5
Here, the graph of the polynomial do not intersects the x-axis at any point so the given polynomial has no real zeros
(iv) p(x) = x² + 3x – 4
Here, the graph of the polynomial intersects the x-axis at 2 points.
Zeros are : (-4 , 0) and (1 , 0)
(v) p(x) = x² – 1
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Answer:
Graph of x² - x - 12 = 0 is in Attachment ✅
x² - x - 12 = 0
x² - 4x + 3x - 12 =0
x(x - 4) + 3(x - 4) = 0
(x - 4) or (x + 3) = 0
x = 4 or x = -3 ..........Zeros of polynomial