Sujeet Kumar

Question 1.Find the factors of the polynomials given below: Solution:i. 2×2 + x – 1= 2×2 + 2x – x – 1= 2x(x + 1)- 1(x + 1)= (x + 1)(2x – 1) ii. 2m2 + 5m – 3= 2m2 + 6m – m – 3= 2m(m + 3) – 1(m + 3)= (m + 3)(2m – 1) iii. … Read more

Question 1.Find the value of the polynomial 2x – 2×3 + 7 using given values for x.i. x = 3ii. x = -1iii. x = 0Solution:i. p(x) = 2x – 2×3 + 7Put x = 3 in the given polynomial.∴ p(3) = 2(3) – 2(3)3 + 7= 6 – 2 x 27 + 7= 6 – 54 + … Read more

Question 1.For x = 0, find the value of the polynomial x2 – 5x + 5.Solution:p(x) = x2 – 5x + 5Put x = 0 in the given polynomial.∴ P(0) = (0)2 – 5(0) + 5= 0 – 0 + 5∴ p(0) = 5 Question 2.If p(y) = y2 – 3√2 + 1, then find p( 3√2 ).Solution:p(y) = … Read more

Question 1.Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.i. (2m2 – 3m + 10) ÷ (m – 5)ii. (x4 + 2×3 + 3×2 + 4x + 5) ÷ (x + 2)iii. (y3 – 216) ÷ (y – 6)iv. (2×4 + 3×3 + 4x – 2×2) ÷ (x + … Read more

Question 1.Use the given letters to write the answer.i. There are ‘a’ trees in the village Lat. If the number of trees increases every year by ’b‘. then how many trees will there be after ‘x’ years?ii. For the parade there are y students in each row and x such row are formed. Then, how … Read more

Question 1.State whether the given algebraic expressions are polynomials? Justify. ii. 2 – 5√xiii. x2 + 7x + 9iv. 2m-2 + 7m – 5v. 10Answer:i. No, because power of v in the term 5√x is -1 (negative number).ii. No, because the power of x in the term 5√x isi. e. 0.5 (decimal number).iii. Yes. All the coefficients … Read more

Question 1.Choose the correct alternative answer for the questions given below. [1 Mark each] i. Which one of the following is an irrational number? Answer:√5 ii. Which of the following is an irrational number? iii. Decimal expansion of which of the following is non-terminating recurring? Answer:(C) 3/11 iv. Every point on the number line represents … Read more

Question 1.Find the value.i. | 15 – 2|ii. | 4 – 9|iii. | 7| x | -4|Solution:i. |15 – 2| = |13| = 13ii. |4 – 9| = |-5| = 5iii. |7| x |- 4| = 7 x 4 = 28 Question 2.Solve. Solution:i. |3x – 5| = 1∴ 3x – 5 = 1 or … Read more

Question 1.Multiply. Solution: Question 2.Rationalize the denominator. Solution:

Question 1.State the order of the surds given below. Answer:i. 3, ii. 2, iii. 4, iv. 2, v. 3 Question 2.State which of the following are surds Justify. [2 Marks each] Answer:= 4, which is not an irrational number. Question 3.Classify the given pair of surds into like surds and unlike surds. [2 Marks each] … Read more