Priya wants to sketch a graph of the polynomial f defined by f(x) = x3 + 5x2 + 2x – 8. She knows f(1) = 0, so she suspects that (x - 1) could be a factor of x3 + 5x2 + 2x -- 8 and
writes (x3 + 5x2 + 2x - 8) = (x - 1)(? x² +?x+?) and draws a diagram.
X
x3
-1
1.
Finish Priya's diagram.
2.
Write f(x) as the product of (x - 1) and another factor.
3.
Write f(x) as the product of three linear factors.
4.
Make a sketch of y = f(x).