Q10 of 64 Page 49

The linear polynomial p(x) = 7x — 3 has the zero _____

Here, p(x) = 7x — 3

To find the zeros of p(x), consider p(x) = 0

∴ 7x — 3 = 0

∴ x =

Hence, the zero of the given polynomial is .

The correct option is B.

The product of two polynomials is 3x⁴ + 5x³ — 21x² — 53x — 30. If one of them is x² — x — 6, find the other polynomial.

2 + √3 and 2 — √3 are the zeros of p(x) = x⁴ — 6x³ — 26x² + 138x — 35. Find the remaining zeros of p(x).

The cubic polynomial p(x) = x³ — x has _____ zeros.

The graph of p(x) = 3x — 2 — x² intersects the X-axis in _____ points.

Questions · 64

2. Polynomials

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