POLYNOMIALS
x+ px +45 is
IO
quared difference of the zeros of the quadratic polynomia
e the zeros of the quadratic polynomial f(x) = x2 - px +q, prove that
a2
x
13. If the squared difference
equal to 144, find the value of p.
14. If a and ß are the zeros of the
a + BA p* - 4p + 2.
B² a² q² 90
na pare the zeros of the quadratic polynomial f(x) = x2 - p(x + 1) - C, show that
(a + 1) (B + 1) = 1 - C.
O ,
10. If a and B are the zeros of a quadratic polynomial such that a + B = 24 and a P
find a quadratic polynomial having a and ß as its zeros.
7. If a and B are the zeros of the quadratic polynomial f(x) = x= -1, find a quadra
en 2an 28
polynomial whose zeros are and
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2
Answer:
Since | | operation is defined for all real numbers, domain D consists of all real numbers x, x∈R.
Since | | operation yields number greater of equal to zero, the range of -|x-2| is (-∞;0]. (Pay attention to the minus sign in front of |x-2| ).
with regards @ARSH
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