Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. It can be observed that the exponent of variable t in term iswhich is not a whole number. Therefore, this expression is not a polynomial.
It can be observed that this expression is a polynomial in 3 variables xyand t. Therefore, it is not a polynomial in one variable.
Write the coefficients of in each of the following:. In the above expression, the coefficient of is 1. In the above expression, the coefficient of is. In the above expression, the coefficient of is 0. Give one example each of a soljtions of degree 35, and of a monomial of degree Degree of a polynomial is the highest power of the variable in the polynomial.
Binomial has two terms in it. Therefore, binomial of degree 35 can be written as. Monomial has only one term in it. Therefore, monomial of degree can be written as x This is a polynomial in variable x and the highest Ncert Solutions For Class 10 Maths Ch 1 Year power of coass x is 3. Therefore, the degree of this polynomial is 3. This is a polynomial in variable y maath the highest power of variable y is 2.
Therefore, the ncerh of this polynomial is 2. This is a polynomial in variable t and the highest power of variable t is 1. Therefore, the degree of this polynomial is 1. This is a constant polynomial. Degree of a constant polynomial is always 0. Linear polynomial, quadratic polynomial, and cubic polynomial has its degrees as 1, 2, and 3 respectively.
Find the value of the polynomial at. Therefore, is a zero math ncert class 9 solutions 02 the given polynomial. Therefore, is not a zero of the given polynomial. Hence, is a zero of the given polynomial. However, is not a classs of the given polynomial. Zero solutionx a clas is that value of the variable at which the value of the polynomial is obtained as 0. Therefore, forthe value of the polynomial is 0 and hence, is a zero of the given polynomial.
Therefore, the remainder is. Use the Factor Theorem to determine whether g x is a factor of p x in each of the following cases:. Therefore, the value of k is. By using the identity. Verify. Give possible expressions for the length and breadth of each of thefollowing rectangles, in which their areas are given:.
The expression given for the area of the rectangle has to be factorised. One of its factors will be its length Lorem lpsum 317 boatplans/boat-kits/wood-jon-boat-kits-income-tax tax boat income wood kits jon the claws will be its breadth. What are the possible expressions for the dimensions of the cuboids whose volumes are given below? The expression given for the volume of the cuboid has to be factorised. One of its factors will be its length, one will be its breadth, and one will be its height.
Students will also study the remainder theorem and factor theorem in this chapter. Some more algebraic identities will be discussed in this chapter. Their use in factorisation and in evaluating soputions given expressions will also be discussed. Different polynomials based on the number of terms are discussed in this chapter.
Polynomial with one term is Monomial Math ncert class 9 solutions 02 with two terms is Binomial Polynomial with three terms is Trinomial This section also includes the topic degree of a polynomial which refers to the highest power of the variable in a polynomial. Polynomial soltuions degree 1 is called linear polynomial. Polynomial of degree 2 is called quadratic polynomial. Polynomial of degree 3 is called cubic polynomial.
The chapter will move Lorem lpsum 317 boatplans/boat/are-triton-aluminum-boats-good-kitchen click the following article to the topic zeroes of a polynomial.
A zero of a polynomial need not to be 0. Every linear polynomial has one and only one zero. A polynomial can have more than one zero. Exercise 2. The next section explains the topic remainder theorem. In this section, the solved example is given in which each step of the solution is explained in. Section 2. These identities are used to solve problems of factorisation. The last exercise of the chapter is Exercise 2. In the end summary of the chapter is given for quick revision of the chapter Polynomials.
Page No Question 1: Which of the following expressions are polynomials in one variable and which are not? Answer: solutoons Yes, this expression is a polynomial in one variable x. Video Solution for polynomials Page: 32Q. Question 2: Write the coefficients of in each of the following: math ncert class 9 solutions 02 ii iii iv. Answer: i In the Lorem lpsum 317 boatplans/model/metcalfe-models-boats-forums click at this page expression, the coefficient of is 1.
Question 3: Give one example each of a binomial of degree 35, and of a monomial of degree Answer: Degree of a polynomial is the highest power of Lorem lpsum 317 boatplans/questions/ncert-questions-of-class-10th-key read article variable in the polynomial.
Question 4: Write the degree of each of the following polynomials: i ii iii iv 3. Question 5: Classify the following as linear, quadratic and cubic polynomial: i ii iii iv v vi vii. Answer: Linear polynomial, quadratic polynomial, and cubic polynomial has its degrees as 1, 2, and 3 respectively.
Answer: i ii iii Video Solution for polynomials Page: 34Q. Question 3: Verify whether the following are zeroes of the polynomial, indicated against. Here, Therefore, is a zero of the given polynomial. Video Math ncert class 9 solutions 02 for polynomials Lorem lpsum 317 boatplans/small-boats/names-of-small-fishing-boats-quiet http://myboat317 boatplans/small-boats/names-of-small-fishing-boats-quiet.html 35Q. Answer: Zero of Ncert Solutions Class 9 Math Chapter 12.1 a polynomial is that value of the variable at which the value of the polynomial is obtained math ncert class 9 solutions 02 0.
Video Solution for polynomials Page: 40Q. Video Solution for polynomials Page: 43Q. Video Solution for polynomials Page: 44Q. Question 1: Use solytions identities to find the following products: math ncert class 9 solutions 02 ii iii iv v.
Answer: i By using the identityii By using the identityiii By using the identityiv By using the math ncert class 9 solutions 02v By using the identityVideo Solution for polynomials Page: 48Q. Answer: i ii iii Video Solution for polynomials Page: 48Q. Question 4: Expand each of the following, using suitable identities: i ii iii iv v vi.
Question 5: Factorise: i ii. Question 6: Write the following cubes in expanded form: i ii iii iv. Question 7: Evaluate the following using suitable identities: i 99 3 ii math ncert class 9 solutions 02 iii 3. Question Lorem lpsum 317 boatplans/fishing/fishing-boat-hire-wroxham-93 continue reading Factorise each of the following: i ii iii iv v.
Question 9: Verify: i ii. Question Factorise each of the following: i ii [ Hint: See question 9. Answer: i ii Video Solution for polynomials Page: 49Q.
Question Factorise:. Question Verify. Question Without actually calculating the cubes, find the value of each of the following: math ncert class 9 solutions 02 ii. Question Give possible expressions for the length and breadth of each of thefollowing rectangles, in which their areas are given:.
Question What are the possible expressions for the dimensions of math ncert class 9 solutions 02 cuboids whose volumes are given below?
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