### Home > INT3 > Chapter Ch8 > Lesson 8.1.3 > Problem 8-50

8-50.

For each of the following polynomial functions, state the degree, list the coefficients, and then label them

*a*_{0}through*a*. Refer to the example in the Math Notes box in Lesson 8.1.1 about polynomial notation. Homework Help ✎_{n}*P*(*x*) = 6*x*^{4}– 3*x*^{3}+ 5*x*^{2}+*x*+ 8*P*(*x*) = –5*x*^{3}+ 10*x*^{2}+ 8*P*(*x*) = –*x*^{2}+*x**P*(*x*) =*x*(*x*– 3)(*x*– 5)*P*(*x*) =*x**P*(*x*) = 10

Degree 4,*a*_{4} = 6, *a*_{3} = −3, *a*_{2} = 5, *a*_{1} = 1, *a*_{0} = 8

Degree 3,*a*_{3} = −5, *a*_{2} = 10,

*a*_{1} = 0, *a*_{0} = 8

See the Math Notes box and parts (a) and (b).

Write the polynomial in standard form first.

Degree 3,*a*_{3} = 1, *a*_{2} = −8, *a*_{1} = 15, *a*_{0} = 0

See the Math Notes box and parts (a) and (b).

See the Math Notes box and parts (a) and (b).