Question

divide first polynomial by second by using factor theorem: (x²-7x+9);(x+1)​

Answer 1

Answer:

X+8. Hope my answer is correct

Answer 2

Given  :  (x²-7x+9);(x+1) by using factor theorem

To Find : remainder

Solution:

Factor Theorem. Factor Theorem. x – a is a factor of the polynomial p(x), if p(a) = 0.  

Also, if x – a is a factor of p(x), then p(a) = 0,  

where a is any real number.  

This is an extension to remainder theorem where remainder is 0, i.e. p(a) = 0.

value of p(a)  will be remainder

 (x²-7x+9) divided by (x+1)

x + 1 = x - (-1)  

p(x) = x²-7x+9

p(-1)  = (-1)² - 7(-1) + 9  = 1  + 7 + 9   = 17

Remainder is 17

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