If (x-2) is a zero of ³ − ² + − , find k .
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Given polynomial p(x)=2x
2
−3x+7a is zero polynomial if x is 2
Replace x by 2 we get
∴2(2)
2
−3(2)+7a=0
⇒2×4−3×2+7a=0
⇒8−6+7a=0
⇒2+7a=0
Add -2 both sides we get
2+7a−2=0−2
⇒7a=−2
Divided by 7 both side we get
a=−
7
2
So a=−
7
2
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