Question

If



f(-6/5)=0

, then find the factor of the polynomial f(x).
​

Answer 1

Answer:

Given,f(x)=x

2

+x−6

Then f(t)=t

2

+t−6

Also given f(t−5)=0

Then f(t−5)=(t−5)

2

+(t−5)+6=0

⇒t

2

−10t+25+t−5−6=0

⇒t

2

−9t+14=0

⇒t

2

−7t−2t+14=0

⇒t(t−7)−2(t−7)=0

⇒(t−2)(t−7)=0

Then t=2 or t=7

Step-by-step explanation:

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