Question

If 4a + 2b + c > 0 and the polynomial f(x) = ax + bx + c has no real zeroes, then :
(A) c > 0
(B) c < 0
(C) c=0
(D) None of these ​

Answer 1

Since f(2)=4a+2b+c>0 and f has no real zeroes , f(x)>0 for all x belongs to R(since f(x0) <0 < f(2) and f continues implies f has a zero between x0 and 2). Hence, f(0) = c > 0.

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Answer 2

Answer:

none of these is correct answef