Question

p(x) = x + 3x2 + 3x + 1, g(x) = x+2 p(x) = x - 4x2+x+6, g(x)= x-3​

Answer 1

Answer:

is it division or multiplication

Step-by-step explanation:

please give clarity

Answer 2

Answer:

Solution: (i) p(x) = 2x3 + x2 x + 1 2x

Apply remainder theorem

=>X + 1 = 0

=> x=-1

Replace x by 1 we get

=>2x3 + x2 2x 1

=>2(-1)3 + (-1)2 -2(-1) - 1

=> -2 +1 +2 -1

=> 0

Remainder is O so that x+1 is a factor of 2x3 + x2 + 2x 1

(ii) p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2

Apply remainder theorem =>x3 + 3x2 + 3x + 1

=>X + 2 =0

=> x = -2

Replace x by → 2 we get

=>(-2)3 + 3(-2)2 + 3(-2) +

=> -8 +12 6+1

=> -1

Remainder is not equal to 0 so that x+2 is not a factor of x3 + 3x2 + 3x + 1

(iii) p(x) = x3 4x2 + x + 6, g(x) = x

Apply remainder theorem

=>x - 3=0

=> x = 3

Replace x by → 2 we get

=>x3 4x2 + x + 6

=>(3)3 -4(3)2 +3 +6

=> 274-36 +3 +6

=> 0

Step-by-step explanation:

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