CBSE Class 10th Maths

Ch-2 Polynomials

A polynomial is an expression consists of constants, variables and exponents.

If p(x) is a polynomial in x, and if k is any real number, then the value obtained by replacing x by k in p(x), is called the value of p(x) at x = k, and is denoted by p(k).A real number k is said to be a zero of a polynomial p(x), if p(k) = 0

Geometrical meaning of the Zeroes of a Polynomial

Zeroes of the polynomials are the x coordinates of the point where the graph of that polynomial intersects the x-axis.

Relation between coefficient and zero's of the Polynomial:

(i)   If α, β are zeroes / roots of p(x) = ax2 + bx + c, then

(ii)   If α, β and γ are zeroes / roots of p(x) = ax3 + bx2 + cx + d

 

NCERT Solutions Ch 2 Polynomials
Ch-1 Real Numbers (Prev Lesson)
(Next Lesson) Ch-3 Pair of Linear Equations in Two Variables
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