STD 10 MATHS CHAP 2 REVISION TEST
STD 10 MATHS CHAP 2 ” BAHUPADIO”(Polynomials)
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In Standard IX we have studied a variable polynomial and its
exponent. Note that if p x) is a
polynomial in the variable x, the maximum power of માં in p (x) is called the power of the polynomial p
(x). For example, 4x + 2 is a talking
polynomial in the variable x. 2y2
– 3y + 4 is a polynomial with 2 powers in the variable y, 5x3 – 4×2
+ 1 is a polynomial with 3 powers in the
variable and 7u6-3U2 -4u+
– 8 is a polynomial with 6 powers in the variable. An exponential polynomial is called a linear
polynomial. For example 2x – 3, 13x + 5,
y +12, x – 1, 3z + 4, u + 1, etc. are all fine polynomials. Polynomials like 2x2+ 5x – 12, x3
+ 1 etc. are not neat polynomials.
A
polynomial with two powers is called a quadratic polynonial. The word ‘quadratic’ is ‘quadrate’? Is derived from and means ‘class’. are some examples of quadratic
polynomials. (Their coefficients are
real numbers). More generally, any polynomial
in x is of the form ax2 + bx
+ c, where a, b, c are real numbers and a +0.
A polynomial of degree 3 is called a cubic polynomial. Some examples of POLYNOMALS cubic polynomial
are 2 – x3 , x3 , 3 – x2+ x3. In fact, the most common form of a cubic
polynomial is ax3 + bx2 + cx + d. where a,b,c,d are real
numbers and a is not 0.
EXEMPLAR ( PURAK SAHITY) FOR STD 10 MATHS
thinking in students. Throughout the book, we try to point students beyond the mastery
of technicalities to think of the subject in a larger frame of reference.
students acquire a sound mathematical foundation in the basic techniques of probability
and statistics, which we believe this book will help students accomplish. Ultimately,
however, these subjects are applied in real-world contexts, so it is equally important
that students understand how to go about their application and understand what issues
arise.
they would be answered in essay format and graded on the maturity the student showed
with respect to the issues involved. Discussion Topics are probably most suitable for
smaller classes, but these will also benefit students who simply read them over and
contemplate their relevance.
a second course in calculus). All the Advanced material can be skipped, with no loss
of continuity, by an instructor who wishes to do so. In particular, the final chapter of the
text is labelled Advanced and would only be taught in a high-level introductory course
aimed at specialists.
labelled Further Proofs (Advanced). An instructor can choose which (if any) of these
proofs they wish to present to their students.
As such, we feel that the material in the text is presented in a flexible way that
allows the instructor to find an appropriate level for the students they are teaching.
Mathematical Background appendix reviews some mathematical concepts, from a
first course in calculus, in case students could use a refresher, as well as brief introductions to partial derivatives, double integrals, etc.