Let V-{f e P7 : f(2) = f(3) = 0) (i. e., the set of polynomials of degree at most 7 which have roots at 2 and 3). Construct a linear transformation with domain P7 for which V is the kernel. What is the dimension of V?

(0.2)+(-8)=0.3+-3+0.3m is the equation i guess? ?

step-by-step explanation:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0