Question #80d85

1 Answer
Feb 19, 2017

p(a-1) = 2 * (1-a)p(a1)=2(1a)

Explanation:

It's given
p(a) = -3a + ap(a)=3a+a

Let's simplify the given polynomial in one variable a little more so as to make our calculations easy.

p(a) = -3a + ap(a)=3a+a
p(a) = a * (-3 + 1)p(a)=a(3+1)
p(a) = a * (-2)p(a)=a(2)
p(a) = -2ap(a)=2a

Now, they have asked us to find p(a-1)p(a1). To do this; just plug in (a-1)(a1) in place of aa in the given polynomial.

Therefore,

p(a-1) = (-2) * (a-1)p(a1)=(2)(a1)
p(a-1) = (-2)(a) - (-2)(1)p(a1)=(2)(a)(2)(1)
p(a-1) = -2a + 2p(a1)=2a+2

Rearranging the equation,

p(a-1) = 2 -2ap(a1)=22a
p(a-1) = 2 * (1-a)p(a1)=2(1a)

And there you have your final answer!