Two polynomials are graphed on the same axes

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Two polynomials are graphed on the same axes. • P(x)P(x) is linear and intersects the xx–axis at (−3,0)(-3,0). • Q(x)Q(x) is quadratic and intersects the xx–axis at (1,0)(1,0) and (5,0)(5,0). Which statement about their real zeros is correct? (a) Neither P(x)P(x) nor Q(x)Q(x) has any real zeros. (b) P(x)P(x) has more real zeros than Q(x)Q(x). (c) Q(x)Q(x) has more real zeros than P(x)P(x). (d) P(x)P(x) has two real zeros, whereas Q(x)Q(x) has only one real zero.

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