Question

Without actual division, x4 + 2x3–2x2 + 2x – 3 is exactly divisible by
a) x - 1
b) x+3
c) x-3
d) x+1
​

Answer 1

Answer:

a) x-1

Step-by-step explanation:

p(X)=x4+2x3-2x2+2x-3

g(X)=x-1

x-1=0

X=1

by using factorisation method

p(1)=(1)^4+2(1)^3-2(2)^2+2(1)-3

=1+2-2+2-3

=5-5

=0

since remainder comes zero

hence x-1 is a factor of p(X)

please make it brainliest

Answer 2

Answer:

did u mean x⁴+2x³-2x²+2x-3?

In that case,

a) p(x)= (given one)

g(x)= x-1=0

x= 1

Now—

=(1)⁴+2(1)³-2(1)²+2(1)-3

= 1+2-2+2-3

=0

b) p(x)= (given)

g(x)= x+3=0

x= -3

=(-3)⁴+2(-3)³-2(-3)²+2(-3)-3

= 81-54-18-6-3

=0

Do the same for the rest of the questions! :)

I hope it helped.

Step-by-step explanation:

Just remember that when you're using g(x) for example it's x-1 then write x-1=0 and the x value would be determined once the number that is +1 (here) would get beside 0 so the value would be x=0+1 and as you know, 0+1=1. Therefore g(x) value is determined. Just remember these key points :)