Question

19.
The graph of the polynomial p(x) intersects the x - axis three times in distinct points, then
which of the following could be an expression for p(x)
a) 4-4x-x ^2+ x^3
b) 3x + 3
c) 3x^2 + 3x - 3
d)x2 - 9
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Answer 1

Answer:

Step-by-step explanation: The answer is (a) 4-4x-x^2+x^3

Because it is given that the polynomial intersects at three points, so the degree of the polynomial should also be 3. Hence, the answer.

Answer 2

Answer:

a) 4-4x-x ^2+ x^3

Step-by-step explanation:

4 - 4x - x2 + x3

Since, the graph of the polynomial p(x) intersects the x-axis at three distinct points, it will have 3 distinct roots. Hence, it will be a cubic polynomial.

Thus, amongst the given alternatives the polynomial p(x) can be 4 - 4x - x2 + x3