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Question

The graph of the equation 3x2+4x+5 = 0 intersects the x-axis at point(s).

A
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B
1
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C
2
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D
3
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Solution

The correct option is A 0
The point at which the graph of a polynomial intersects the X-axis is called a root of the corresponding equation.
A quadratic polynomial will intersect the X-axis, if it has real roots.
The nature of the roots of a polynomial ax2+bx+c depends on its discriminant, D = b24ac.
Consider the equation 3x2+4x+5=0.
D=b24ac=424(3)(5)
=44
Since D=44<0, the given equation has no real roots.
Hence, there will be no point of intersection of the polynomial with the X-axis.

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