x-2) is a factor Find the value of k, yo of (3x - 2x² - 5 x + 2k)
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Correct option is
A
6
Let the function be represented by f(x).
As x+2, exactly divides f(x),
−2 is a zero of f(x), hence f(−2)=0
f(x)=2x
3
+5x
2
−x−k
f(−2)=2(−2
3
)+5(−2
2
)+2−k=0
⇒0=−16+20+2−k
⇒k=6
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