Question

4 Is (X – 14) a factor of x2 – 31x + 238?​

Answer 1

Answer:

Yes

Step-by-step explanation:

put x = 14 in the eq

(14)^2 -31(14) + 238

196-434+238

196-196

=0

remainder is 0

so this shows that the x-14 is a factor

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Answer 2

Answer:

It's factor of given equation.

Step-by-step explanation:

Given equation x^2 - 31x + 238 = 0 ---(1)

factor ( x - 14 )

Rule : To become factor to a equation,factor x value must be satisfied in equation when factor equal to 0.

let take x - 14 = 0

=> x = 14

Substitute x = 14 in equation(1)

=> (14)^2 - 31(14) + 238 = 0

=> 196 - 434 + 238 =0

=> -434 + 434 = 0

Therefore ( x - 14 ) is a factor.

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