Write all of the following statement(s) that apply to the following polynomial: 5x4 – 4x3 + 7
It has a coefficient of 4.
It can be evaluated at x = - 2/3
It is a trinomial.
It is quadratic.
Solution
It can be evaluated at x = - 2/3
It is a trinomial.
At x = -2/3 the polynomial has the value 743/81 or approx. 9.17.
A trinomial is any equation with three terms, which is what it has.
It does NOT have a coefficient of 4. It has a degree of 4 (highest exponent) and a coefficient of 5.
It is not a quadratic equation (degree of 2). It is a quartic equation (degree of 4).
Hope that helped!
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Write all of the following statement(s) that apply to the following po.docx
1. Write all of the following statement(s) that apply to the following polynomial: 5x4 – 4x3 + 7
It has a coefficient of 4.
It can be evaluated at x = - 2/3
It is a trinomial.
It is quadratic.
Solution
It can be evaluated at x = - 2/3
It is a trinomial.
At x = -2/3 the polynomial has the value 743/81 or approx. 9.17.
A trinomial is any equation with three terms, which is what it has.
It does NOT have a coefficient of 4. It has a degree of 4 (highest exponent) and a coefficient of
5.
It is not a quadratic equation (degree of 2). It is a quartic equation (degree of 4).
Hope that helped!
