Question

Give a polynomial with an odd degree and a negative leading coefficient, with an irrational zero.

Answer 1

Explanation:

Definitions:

Polynomial: equation with terms

Odd Degree: the highest exponent must be odd

Ex. x³ or
`x^(7)`

Negative Leading Coefficient: the number in front of the highest

exponented term is negative

Ex. -5x³

Irrational Zero: Solution that has a decimal with no repeats and goes on

infinitely

Ex. √7 or pi

Now that we have our meanings let's put it together:

y = -5x³ - 7

This would give and irrational 0 if we solved for x when y=0