Find the value of a and b if $( x + 1 )$ and $( x -2 )$ are factors of $ ax^3 - 4x^2 + bx - 12$
66558
Find the value of $a$ and $b$ if $x+1$ and $x−2$ are factors of $ax^3−4x^2+bx−12$
110408
Solving for $A$ in $Ax = b$
152643
$(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is
58589
On the factorial equations $A! B! =C!$ and $A!B!C! = D!$
115719
Find the possible values of |A + B + C |
114011
Algebra - Solving for three unknowns.
87304
Solving for $x$ : $a^x+b^x=c$
49548
If $(a + ib)^3 = 8$, prove that $a^2 + b^2 = 4$
5981
For which values of $a$ does $a-2 \mid a^3+4$
96875
Finding the value of $x^{x^2}+x^{x^6}$ given that $x^{x^4}=4$
58133
${a^2}{\mid}({b^3} + 1)\;$and$\;{b^2}{\mid}({a^3} + 1)$
38662
If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
3206
Given $ax^2+by^2+cxy > 0$, what can I deduce about $a$, $b$, and $c$?
113458
How to factor $a^n - b^n$?
73102
Given the factors of $N$, is there a method for computing the factors of $N-1$ or $N+1$?
47949
If $a$ and $b$ are two roots of $x^4 + x^3 - 1 = 0$ prove that $ab$ is a root of $x^6 + x^4 + x^3 - x^2 - 1$.
11388
How you get from $\gcd(a,b)=1 \Longleftrightarrow ax+by=1 \Longrightarrow a \nmid b$?