Examine if (5x+2) is factor of 2x3 - 3x2 - 17x + 30.
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A number can be a factor if remainder is 0
5x+2=0
5x=-2
x=-2/5
p(x)=2x³-3x²-17x+30
p(x)=2(-2/5)^3-3(-2/5)^2-17(-2/5)+30
p(x)= (-16/125)-(12/25)-(-34/5)+30
p(x)= -16/125-12/25+34/5+30
p(x)= 36.192
Since remainder is not 0, (5x+2) is not a factor of 2x³ - 3x² - 17x + 30
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