Question
What is the highest common factor of (x³ - x² - x -
15) and (x³ - 3x² - 3x + 9)?Solution
x³ - x² - x - 15 = x³ - 3x² + 2x² - 6x + 5x - 15 = x²(x - 3) + 2x(x - 3) + 5(x - 3) = (x - 3)(x² + 2x + 5) x³ - 3x² - 3x + 9 = x²(x - 3) - 3(x - 3) = (x - 3)(x² - 3) ∴ HCF = (x - 3)
Statement: F ≥ I ≥ S ≥ H ≥ Y
Conclusion: I. H ≤ F II. Y ≤ I
...Statements: B & T, K ⋆ B, S ⋆ K
Conclusions: a) K ⋆ T b) S # T
...Statement: M < N ≤ O = P, Q ≥ O ≤ R ≤ Z
Conclusion: I. Q > M II. Z > M
...If “M % N # O © P @ S © T $ W” is true then which of the following is definitely not true?
(i) M # P
(ii) O © T
(iii) N #...
Statements: H < I; J < L < K; H ≥ L > M
Conclusions:
I. J < I
II. M < K
III. K > I
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
In the question, assuming the given statements to be true, Find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Which of the following symbols should replace the sign ($) and (#) in the given expression in order to make the expressions V ≥ Y and X > B definitel...
Statements: B % C & Q @ F $ D; R % B # S
Conclusions : I. D % C II. B % Q III. R @ ...
Statement: F < G < H ≥ J; F ≥ K > L
Conclusion:
I. H > L
II. H = L
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