Algebra: Graphs and Zeros of Polynomials

#Algebra #grade10 #grade11 #grade12 Identify #zeros of #polynomials when suitable #factorizations are available, and use the zeros to construct a rough #graph of the #function d...

A polynomial has a factorization (? – a)(? – b)(? – c). The graph of the polynomial

has ?-intercepts a , b , and c . has ?-intercepts – a , – b , and – c. has ?-intercepts a , b , and c . has ?-intercepts – a , – b , and – c.
What are the zeros of ⨍(?)=(? + 2)(? + 3)(? – 4)(? – 1)?

0 only 24 only 2, 3, −4, −1 −2, −3, 4, 1
What are the zeros of g(?) = (? + 5)^2(? + 4)?

5 and 4 −5 and −4 −5, 5, and 4 −5, 5, and −4
What is the complete factorization of ?^3 + 5?^2 – 14??

?(? + 14)(? – 1) ?(? – 14)(? + 1) ?(? + 7)(? – 2) ?(? – 7)(? + 2)
How many ?-intercepts does the graph of ? = ?(? + 1)(? – 1)^3 have?

2 3 4 5
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