Maths : Algebra : Points to Remember

**Algebra**

**Points to Remember**

**• **An algebraic
expression of the form *p* ( *x*) =
*a _{n}*

**•
**Let *p*(*x*) be a polynominal.
If *p*(*a*) = 0 then we say that ‘*a*’ is a zero of the polynomial
*p*(*x*)

**• **If *x*
= *a* statisfies the polynominal *p*(*x*) = 0 then *x* = *a*
is called a root of the polynominal equation *p*(*x*) = 0.

**• ****Remainder Theorem:** If a polynomial** ***p*(*x*) of degree greater than or equal** **to one is divided by a linear
polynomial (*x*–*a*), then the remainder is *p*(*a*), where
*a* is any real number.

**•
****Factor Theorem**

If *p*(*x*)
is divided by (*x* -*a*) and the remainder *p*(*a* ) =
0, then (*x* -*a*) is a factor of the polynomial *p*(*x*)

**• **Solution
of an equation is the set of all values that when substituted for unknowns make
an equation true.

**• **An equation
with two variable each with exponent as 1 and not multiplied with each other is
called a linear equation with two variables.

**•
**Linear equation in two variables has
infinite number of solutions.

**•
**The graph of a linear equation in two
variables is a straight line.

**•
**Simultaneous linear equations consists
of two or more linear equations with the same variables.

Tags : Algebra | Maths , 9th Maths : UNIT 3 : Algebra

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9th Maths : UNIT 3 : Algebra : Points to Remember | Algebra | Maths

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