a,b,c,d are unit digits whose
pairwise sums form an arithmetic
progression. Given that a+b+c+d is
even, find the common positive
difference of the arithmetic
progression.
The product of the four terms of an
increasing arithmetic progression is a,
their sum is b, and the sum of their
reciprocal is c. Suppose that a,b,c form
a geometric progression whose
product is 8000, find the sum of the
first and fourth term.
Which of the following is not a factor
of x^6 −56x+55
A. x−1 B. x^2 −x+5 C.
x^3 +2x^2 −2x−11 D.
x^4 +x^3 +4x^2 −9x+11 E.
x^5 +x^4 +x^3 +x^2 +x−55
Please show all workings clearly.
Thanks.
The identity
2[16a^4 +81b^4 +c^4 ]=[4a^2 +9b^2 +c^2 ]^2
cannot result from which of the
following equations?
A. 6b=4a+2c B. 6a=9b+3c C.
6b=−4a+2c D.c= −2a−3b E.
6c=2b+3a
If P(x) is a polynomial whose sum of
coefficients is 3 and P(x) can be
factorised into two polynomials
Q(x),R(x) with integer coefficients,
the sum of the coefficients
Q(x)^2 +R(x)^2 is