Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Can you show me a problem that has a binomial that is a factor of the polynomial being divided, and another problem that has a binomial that is not a factor of the polynomial being divided.

Question

anonymous · Answer

attachment

anonymous · Answer

Complete the table and choose the solution for each given value of x in questions 3–7. 

y = –x2 + 2


3.   When x = –2  (1 point)
y = –(–2)2 + 2 = –2; (–2, –2)
y = (–2)2 + 2 = 2; (–2, 2)
y = –(2)2 + 2 = –2; (2, –2)
y = –(–2)2 – 2 = 2; (–2, –2)
4.   When x = – 1  (1 point)
y = –(–1)2 + 1 = 2; (–1, 1)
y = (–1)2 + 2 = 1; (–2, 1)
y = –(–1)2 + 2 = 1; (–1, 1)
y = (–1)2 + 2 = 1; (1, –1)
5.   When x = 0  (1 point)
y = –(0)2 + 2 = 2; (0, 2)
y = –(0)2 + 2 = –2; (0, –2)
y = (0)2 – 2 = 2; (2, 0)
6.   When x = 1  (1 point)
y = –(1)2 – 2 = 1; (1, 1)
y = –(1)2 + 2 = 1; (1, 1)
y = (1)2 + 2 = –1; (1, 1)
y = (1)2 + 2 = 1; (1, –1)
7.   When x = 2  (1 point)
y = (2)2 – 2 = 2; (2, –2)
y = –(2)2 – 2 = –2; (2, 2)
y = (2)2 + 2 = –2; (2, 2)
y = –(2)2 + 2 = –2; (2, –2)