Question

Use Remainder theorem to find the remainder when f(x) is divided by g(x) in the
following
(i) f(x) = x² - 5x + 7,g(x)=x+3​

Answer 1

Answer: 31

Step-by-step explanation:

g(x) = x+3

      x = -3

f(x) = x^2 - 5x +7

      = -3^2 - 5*-3 +7

      = 9+ 15 +7

      = 31

Hence the remainder is 31

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Answer 2

Remainder = 31

Given,

f(x) = $x^2-5x+7$ and g(x) = x+3    

Consider,

g(x) ⇒ x+3 = 0  

      ⇒x = -3

The remainder when f(x) is divided by g(x) is f(-3) (By Remainder Theorem)

Thus,

$f(-3)=(-3)^2-5(-3)+7$

$f(-3)=9+15+7$

$f(-3)=31$

Therefore the remainder is 31

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