Maths: Integer and Remainder

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RYAN INTERNATIONAL SCHOOL MAYUR VIHAR
2013- 2014
CLASS: IXSUB.: MATHS

Q1.If x2 + x + 1 is a factor of the polynomial 3x3 +8x2 + 8x +3 +5k value of the k is
(A) 0(B) 2/5(C) 5/2(D) -1
Q2.If x51 +1 is divided by x+1, the remainder is
(A) 0(B) 1(C) 49(D) 50
Q3.If f(x) is a polynomial such that f(-1/2) = 0 , then a factor of f(x) is
(A) 2x - 1(B) 2x + 1(C) x -1(D) x +1
Q4.Using Remainder theorem find the remainder when f(x) is divided by g(x)
f(x) = x23 -x9 -1, g(x) = x+1
Q5.Factorize the following 4[pic] x2 + 5x - 2[pic].
Q6.Give one example of a monomial of degree 35 and binomial of degree 100 Q7.Which of the following is not a polynomial? Give reason supporting your answer
(i) 3[pic] + 6(ii) z + [pic]
Q8.Show that x-2 is a factor of the polynomial f(x)=2x3 -3x2 -17x + 30 and factorize f(x). Q9.Show that x+1 and 2x-3 are factors of 2x3 -9x2 + x + 12. Q10.If polynomials ax3 +3x2 -13 and 2x3 - 5x +a are divided by x+2 , the remainder in each case is same , find the value of a. Q11.If x240 + 2x151 + k is divisible by x+1, then the value of the k is

(A) 1(B) 2/5(C) 5/2(D) -1
Q12.If f(x) is a polynomial such that f(-2/3) = 0 , then a factor of f(x) is
(A) 2x - 1(B) 2x + 1(C) 3x +2(D) x +1
Q13.If x+2 is a factor of the polynomial x2 + mx + 14 value of the m is
(A) 0(B) 2/5(C) 9(D) -1
Q14.Find p(0) and p(1) for the polynomial p(t) = 2+ t + 2t2 -t3

Q15.Using Remainder theorem find the remainder when f(x) is divided by g(x)
f(x) = x3 -4x2 +2x +7, g(x) = x -1
Q16.Factorize the following 7[pic] x2 -10x - 4[pic].
Q17.Verify whether 7+3x is factor of the polynomial 3x3 + 7x. Q18.Show that x-1 is a factor of x10 – 1 and also of x11 -1. Q19.If polynomials ax3 +4x2 +3x -4 and x3 - 4x +a are divided by x-3 , the remainder in each case is same , find the value of a. Q20.Factorize the following polynomial using Factor Theorem x3 -6x2+ 11x -6. Q21.If x-3 is a factor of the...
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