Q1.
Find a quadratic polynomial whose zeroes are
.
Q2.
Find the quadratic polynomial whose zeroes are
Q3.
If
Q4.
Find a cubic polynomial whose zeroes are
Q5.
Find a cubic polynomial whose zeroes are
.
Q6.
The zeroes of cubic polynomial
are
respectively.
are zeroes of a cubic polynomial, then find the polynomial.
.
. Verify the
relation between its zeroes and coefficients.
Q7.
For a certain cubic polynomial,
polynomial.
Q8.
If one of the zeroes of quadratic polynomial
value of
Find the
?
Q9.
Verify that the zeroes of cubic polynomial
Q10.
Cubic polynomial
quotient and
Q11.
as remainder. Find
gives
is divided by a polynomial the quotient is
as
,
. Find the polynomial.
, if two of its zeroes
.
Find all the zeroes of the polynomial
of its zeroes are
Q14.
.
.
Find all the zeroes of the polynomial
are:
Q13.
are
when divided by a polynomial
When
remainder is
Q12.
; then what is the
.
What will we get if we divide
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, it is given that two
by
?
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Q15.
Divide
by
and write the result.
Q16.
Find
Q17.
Divide
Q18.
Divide
Q19.
Given that
Q20.
If is one of the zeroes of the polynomial
two zeroes?
and verify the division algorithm.
by
by
and verify the division algorithm.
find quotient and remainder.
is a zero of
. Find the other two zeroes.
. What are the other
Answers
A1.
A2.
A3.
A4.
A5.
A6.
Hint: Use the result:
A7.
A8.
A9.
Hint: A real number
is called zero of the polynomial
if
.
A10.
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Page 2 of 3
A11.
A12.
A13.
A14.
A15.
A16.
Hint: To verify division algorithm, Use
A17.
Hint: To verify division algorithm, Use
A18.
A19.
A20.
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