if one of the factor of x²+x-20 is (x-4). Find the other factor
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1
Answer:
Let (x−a) be the other factor.
Now, (x+5),(x−a) are factors of the quadratic equation x
2
+x−20
Thus,
(x+5)(x−a)=x
2
+x−20
=>x
2
−ax+5x−5a=x
2
+x−20
=>x(5−a)−5a=x−20
Now, considering the co-efficients of x on the both sides,
5−a=1
=>a=5−1=4
Therefore the other factor is (x−4)
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