New posts in algebra-precalculus

If $a$ and $b$ be the roots of the quadratic equation $x^2-6x+4=0$ then find the value of given expression.

Proving that this function has the same value for all integers $\geq4$. [duplicate]

Prove:$|x-1|+|x-2|+|x-3|+\cdots+|x-n|\geq n-1$

Did I just discover a new way to calculate the signature of a matrix?

If $f(x + 1) + f(x − 1) = f(x), \forall x \in \mathbb{R}$,then how to find $k$ such that $f(x + k) = f(x)$?

Is there a rule for $\sqrt{a+b}$?

Why is the derivative of sine the cosine in radians but not in degrees?

Number of zeros not possible in $n!$ [duplicate]

How find limit $\displaystyle \lim_{n\to\infty}n\left(1-\tfrac{\ln n}{n}\right)^n$

Find the sum of $-1^2-2^2+3^2+4^2-5^2-6^2+\cdots$

Coeff. of $x^{97}$ in $f(x) = (x-1)\cdot (x-2)\cdot (x-3)\cdot (x-4)\cdot ........(x-100)$

Best books for relearning precalculus maths the right way [duplicate]

Why { $z-x-y=0$ , $z-2x=0$ , $2x+y-3z=0$ } cannot be solved this way?

Can you reduce an inequality by taking a derivative?

Let $f(x)=ax^2+bx+c$ where $a,b,c$ are real numbers. Suppose $f(-1),f(0),f(1) \in [-1,1]$. Prove that $|f(x)|\le \frac{3}{2}$ for all $x \in [-1,1]$.

Is my general formula for polynomial multiplication right?

Find the possible values of $a$, $b$ and $c$?

Arithmetic mean is less than geometric mean (Spivak Calculus 3rd Chapter 2 Problem 22)

Showing that $\max\{f+g\} \leq \max f + \max g$

How to find the equation of the tangent line to $y=x^2+2x-4$ at $x=2$?