10 Questions
For the polynomial y2 – 5y + 6, which of the following accurately describes the factors found using the Factor Theorem?
(y - 2)(y - 3)
What method is deemed more efficient in the text for factorizing polynomials like y2 – 5y + 6?
The splitting method
Based on the text, how are factors of a polynomial related to its constant term?
The product of the factors equals the constant term
In Example 10, what is the correct factorization of x3 – 23x2 + 142x – 120?
(x - 1)(x - 4)(x - 30)
What is the value of p(2) for the polynomial y2 – 5y + 6 in the text?
0
Why does the text suggest starting with finding at least one factor when factorizing cubic polynomials?
To reduce trial and error
What role does a play in factorizing polynomials according to the Factor Theorem?
Determines one of the factors
Which method is not suitable to start with for factorizing cubic polynomials based on the information provided?
The splitting method
'ab = 6' indicates that in p(y), a and b are _________.
'a' and 'b' multiply to give 6
'p(x) = (x – a) (x – b)' represents what form of polynomial factorization according to the text?
'p(x)' factored completely
This quiz involves evaluating polynomial expressions at specific values and verifying whether given values are zeroes of the polynomials. Questions include finding p(0), p(1), p(2) for different polynomials and checking if certain values make the polynomial expression zero.
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