Please solve it step by step Paragraph for Question Nos. 73 and 74 (x)=(x-?)ng(x
ID: 3198093 • Letter: P
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Please solve it step by step
Paragraph for Question Nos. 73 and 74 (x)=(x-?)ng(x), an fn-1 (?) f (x) and g(x) are 0 where. polynomials. For polynomial f(x) and g(x) with rational coefticients, then answer the following questions. If y = f(x) touches the x-axis at only one point, then the point of contact (a) is always a point with rational co-ordinates (b) may or may not be a point with a rational co-ordinates (c) will have irrational co-ordinates (d) none of these 73. If y (x) touches the x-axis at only one point, then the point of contact 74. If f(x) is of degree 3 and touches x-axis, then (a) all the roots of f(x) are rational (c) both (a) and (b) may be possible (b) only one root is rational (d) none of theseExplanation / Answer
73. Option b is right. Like x2 - 2=0 .... solutions are +/- square root 2. which are not rational.
74. option c is right. As it touch x axis and it is odd degree polynomial so it will must have 1 real root, and other two roots maybe real maybe complex.