If 2 and 0 are the zeros of the polynomial f(x) = 2x^{3} - 5x^{2} + ax + b then find the values of a and b.
HINT: f(2) =0 and f(0) = 0
Answers
Answered by
10
Answer: a=2, b=0
Step-by-step explanation:
2(2)^3 - 5(2)^2 +a(2) + b =0
2(8) - 5(4) + 2a + b=0
16 - 20 + 2a + b =0
-4 + 2a + b =0
2a + b = 4
2(0)^3 -5(0)^2 + a(0) + b = 0
0-0+0+b= 0
b=0
2a+b=4
2a+0=4
2a=4
a=2
Answered by
3
hey here is your answer
2(2)^3 - 5(2)^2 +a(2) + b =0
2(8) - 5(4) + 2a + b=0
16 - 20 + 2a + b =0
-4 + 2a + b =0
2a + b = 4
2(0)^3 -5(0)^2 + a(0) + b = 0
0-0+0+b= 0
b=0
2a+b=4
2a+0=4
2a=4
a=2
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