use factor theorem to determine whether x+3 is factor of x²+2x+3
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In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if.
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X + 3 is factor of given polynomial p(X)
therefore p(-3) = 0
therefore p (X) = X² + 2x - 3
p(-3) = (-3)²+2× -3 -3
= 9-6-3
= 9-9
p (-3) = 0
therefore X + 3 is factor of x² + 2x - 3
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