MAT1511 Assignment 1 2025 – Due March 2025

QUESTION 1
1.1 P (x) = x
3
+ 7x + 6
(a)Use the Factor Theorem, or otherwise, to show that x + 2 is a factor of P (x) .
(2)
(b)Solve P (x) = 0 by first factorising P (x) completely.
(3)
QUESTION 1:
1.1 Given Polynomial:
P() = -+7+6
(a) Use the Factor Theorem to show that r + 2 is a factor of P(x ).
The Factor Theorem states that if ar + 2is a factor, then substituting z = -2 into P(a) should
give P(-2) = 0.
Substituting a = -2: