A polynomial graph crosses the x-axis at x = 0, x = 3, x = -3 and nowhere else. Write a simplest polynomial (with leading coefficient 1) having exactly these zeroes, then state its degree.

Question

Accepted Answer

x(x - 3)(x + 3), degree 3. Zeroes 0, 3, -3 give factors x, (x - 3), (x + 3). The product x(x - 3)(x + 3) = x^3 - 9x has degree 3.

A polynomial graph crosses the $x$ -axis at $x = 0, x = 3, x = - 3$ and nowhere else.
Write a simplest polynomial (with leading coefficient 1) having exactly these zeroes, then state its degree.

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More Class 10 Graphical Meaning of Zeroes practice

A polynomial graph crosses the x-axis at x=0,x=3,x=−3 and nowhere else.Write a simplest polynomial (with leading coefficient 1) having exactly these zeroes, then state its degree.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

A polynomial graph crosses the $x$ -axis at $x = 0, x = 3, x = - 3$ and nowhere else.
Write a simplest polynomial (with leading coefficient 1) having exactly these zeroes, then state its degree.