class 10 polynomial

Q1.If one of the zeroes of the quadratic polynomial (k–1) x2 + k x + 1 is –3, then the value of k is. A) 4/3 B) -4/3 C) 2/3 D) -2/3 Solution: Q2. A quadratic polynomial, whose zeroes are –3 and 4, is is A) x2 – x + 12 B) x2 + x […]

Q1.Answer the following and justify: (i) Can x2 – 1 be the quotient on division of x6 + 2×3 + x – 1 by a polynomial in x of degree 5?. Solution: (ii) What will the quotient and remainder be on division of ax2 + bx + c by px3 + qx2 + rx +

Find the zeroes of the following polynomials by factorisation method and verify therelations between the zeroes and the coefficients of the polynomials: Q1. 4×2 – 3x – 1. Q2. 3×2 + 4x – 4. Solution: Solution: Q3. 5t2 + 12t + 7. Solution: Q4. t3-2t2 – 12t. Solution: Q5. x2 + 7x/2 + 3/4. Solution:

Q1. For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. -8/3 , 4/3 21/8 , 5/16 -2√ 3,-9 -3/2√ 5 , -1/2 Solution: Q2. Given that the zeroes of the cubic polynomial x3 – 6×2