Let $f (x) = (1 + m) x^{2} - 2 (1 + 3 m) x + 4 (1 + 2 m) .$ Numbe of interval values of $m$ for which given qudratic expression is always positive is (A) $8$ (B) $7$ (C) $8$ (D) $9$

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Let

f (x) = (1 + m) x^{2} - 2 (1 + 3 m) x + 4 (1 + 2 m) .

Numbe of interval values of

m

for which given qudratic expression is always positive is (A)

8

(B)

7

(C)

8

(D)

9

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Question Text

Let

f (x) = (1 + m) x^{2} - 2 (1 + 3 m) x + 4 (1 + 2 m) .

Numbe of interval values of

m

for which given qudratic expression is always positive is (A)

8

(B)

7

(C)

8

(D)

9

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