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MAT1511 Assignment 1 Semester 1 Memo | Due March 2026. All questions fully answered. 1. Given
P (x) = 2×3 − 7×2 + 4x + 4
(a) Find all possible rational zeros of p (x) (4)
(b) Use Descarte’s Rule of Sign to describe all possibilities for the number of
positive, negative and imaginary zeros of p (x)
(4)
(c) Use the information you got in (a) and (b) together with the factors’ theorem
to factorize p (x) completely. (9)
[17]
MAT1511 Assignment 1 Semester 1 Memo | Due March 2026. All questions fully answered. 1. Given
P (x) = 2×3 − 7×2 + 4x + 4
(a) Find all possible rational zeros of p (x) (4)
(b) Use Descarte’s Rule of Sign to describe all possibilities for the number of
positive, negative and imaginary zeros of p (x)
(4)
(c) Use the information you got in (a) and (b) together with the factors’ theorem
to factorize p (x) completely. (9)
[17]
MAT1511 Assignment 1 Semester 1 Memo | Due March 2026. All questions fully answered. 1. Given
P (x) = 2×3 − 7×2 + 4x + 4
(a) Find all possible rational zeros of p (x) (4)
(b) Use Descarte’s Rule of Sign to describe all possibilities for the number of
positive, negative and imaginary zeros of p (x)
(4)
(c) Use the information you got in (a) and (b) together with the factors’ theorem
to factorize p (x) completely. (9)
[17]
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