Question
If a polynomial(x2+ax−c)cuts x-axis at 2 and -4, the value of a+c is
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Answer:
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Suppose f(x) is thepolynomial.
Now since it cuts x-axis at 2 and -4, the roots of f(x) are 2 and -4.
Sum of roots = −a=2−4=−2
⇒a=2
Productof roots = −c=2×−4=−8
⇒c=8
Hence, (a+c)=10
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:
Suppose f(x) is thepolynomial.
Now since it cuts x-axis at 2 and -4, the roots of f(x) are 2 and -4.
Sum of roots = −a=2−4=−2
⇒a=2
Productof roots = −c=2×−4=−8
⇒c=8
Hence, (a+c)=10
Was this answer helpful ?
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