Question

18. Find the value of K if (x-2) is factor of polynomial p(x) = 2x³-6x²+5x+k.​

Answer 1

Answer:

2x^3-6x^2+5x+k÷x-2

x-2=0

x=2

p(x)=2x^3-6x^2+5x+k

p(2)=2(2)^3-6(2)^2+5(2)+k

2(8)-6(4)+10+k=0

16-24+10+k=0

2+k=0

k= -2

Therefore, the value of k is -2

Step-by-step explanation:

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