If 2 and 0 are the zeros of the polynomial f(x) =2x³-5x²+ab+b then find the values of a and b.
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Step-by-step explanation:
If
f(2)=
2(2)
3
−
5(2)
2
+
a(2)+
b=
0
⇒
16−
20+
2a+
b=
0⇒
2a+
b=
4
⇒
f(0)=
2(0)
3
−
5(0)
2
+
a(0)+
b=
0
⇒
b=
0⇒
2a=
4⇒
a=
2,b=
0
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