Question

Examine if (5x+2) is factor of 2x3 - 3x2 - 17x + 30.

Answer 1

Answer:

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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