if 2 and 0 are the zeros of the polynomial f(x)=2x³-5x²+ax+b then find the values of a and b
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Answer:
a=2, b=0
Step-by-step explanation:
f(x) = 2x³ - 5x² + ax + b
f(2) = 2(8) - 5(4) + 2a + b = 0
16-20+2a+b=0
2a+b=4 ------> 1
f(0) = b = 0 ----> 2
hence, putting b=0 in equation 1,
2a+b=4
2a=4
a=2
Hence solved.
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