Find the value of a if (x-5) is a factor of x^2-3x+ax-10
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Answer:
a = -20
Step-by-step explanation:
p(x) = x² - 3x + ax - 10
x - 5 is factor
x - 5 = 0
x = 5
p(5) = (5)² - 3(5) + a(5) - 10 = 0
125 - 15 + 5a - 10 = 0
125 - 25 + 5a = 0
100 + 5a = 0
5a = -100
a = -100 / 5
a = -20
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