Answer:
#1
- x² - 9 = 0
- x² = 9
- x = ± √9
- x = ± 3
Yes, -3 and 3 are zeroes of this polynomial
#2
See attached graphs
Zero's of a polynomial are the intersection of the graph with the x-axis.
They include coordinates as (x, 0), so the x-coordinates are zero's.
The attached shows the zero's.
#3
See attached graphs
Zero's of each polynomial are reflected in the graphs.
- () y = x² - x - 6 has zeros x = -2 and x = 3
- (ii) y = 6 - x - x² has zero's x = -3, x = 2
