The LCM of the polynomials is ____________.
1.
2.
3.
4.
The LCM of the polynomials and is ________.
1.
2.
3.
4.
The LCM of polynomials is ___________.
1.
2.
3.
4.
If HCF and LCM of two polynomials P(x) and Q(x) are x(x+p) and 12x2 (xp)(x2p2) respectively. If P(x)=4x2 (x+p), then Q(x)=_______.
1.
2.
3.
4.
The product of HCF and LCM of two polynomials is then the product of the polynomials is __________.
1.
2.
3.
4. None of these
If (x+4)(x2)(x+1) is the HCF of the polynomials f(x)=(x2+2x8)(x2+4x+a) and g(x) = (x2x2)(x2+3xb), then (a, b) = ________.
1. (3, 4)
2. (3, 4)
3. (3, 4)
4. (3, 4)
Find the LCM of
1.
2.
3.
4.
The HCF of the polynomials p(x) and q(x) is 6x9, then p(x) and q(x) could be ___________.
1. 3, 2x3
2. 12x18, 2
3. 3(2x-3)2, 6(2x-3)
4. 3(2x-3), 6(2x+3)
If the HCF of the polynomials f(x) and g(x) is 4x6, then f(x) and g(x) could be ___________.
1. 2, 2x3
2. 8x12, 2
3. 2(2x3)2, 4(2x3)
4. 2(2x+3), 4(2x+3)
If the HCF of the polynomials f(x) = (x+3)(3x27xa) and g(x)=(x3)(2x2+3x+b) is (x+3) (x3), then a+b= __________.
1. 3
2. 15
3. 3
4. 15
Find the HCF of the polynomials
1.
2.
3.
4.
If the HCF of is then a = _________.
1. 3
2. -3
3. 6
4. -4
The HCF of the polynomials is __________.
1.
2.
3.
4.
What should be subtracted from to get
1.
2.
3.
4.
Which of the following is/are true?
(A) The sum of two rational expressions is always a rational expression.
(B) The difference of two rational expressions is always a rational expression.
(C) is in its lowest terms of LCM [p(x), q(x)]=1.
(D) Reciprocal of
1. A, B
2. A, B, D
3. A, C
4. A, B, C
The product of additive inverses of and is _______.
1.
2.
3.
4.
What should be added to to get
1.
2.
3.
4.
The rational expression in lowest terms is ___________.
1.
2.
3.
4.
If is the HCF of then the simplest form of is ________.
1.
2.
3.
4.
What should be added to to get
1.
2.
3.
4.
The HCF of the polynomials is __________.
1.
2.
3.
4.
The LCM of the polynomials is __________.
1.
2.
3.
4.
The HCF of polynomials _____________.
1.
2.
3.
4.
If the zeroes of the rational expression then the value of a is ___________.
1.
2.
3.
4. None of these
The LCM of the polynomials is ____________.
1.
2.
3.
4.
If the HCF of the polynomials , then their LCM is ____________.
1.
2.
3.
4.
If then the HCF of h(b)-h(a) and g(b)-g(a) is _________.
1.
2.
3.
4.
If (y)=y3 and g(z)=z4, then HCF of h(b)h(a) and g(b)g(a) is ___________.
1. b a
2. b2 a2
3. b3 a3
4. b2+ab+a2
If the HCF of the polynomials (x+4)(2x2+5x+a) and (x+3)(x2+7x+b) is (x2+7x+12) then 6a+b is ________
1. -6
2. 5
3. 6
4. -5
The HCF and LCM of the polynomials p(x) and q(x) are 5(x-2)(x+9) and 10(x2+16x+63)(x-2)2. If p(x) is 10(x+9)(x2+5x-14), then q(x) is ________.
1. 5(x+9)(x-2)
2. 10(x-2)2 (x+7)
3. 10(x+9)(x-2)
4. 5(x-2)2 (x+9)
If the zeroes of the rational expression (ax+b)(3x+2) are then a+b=____________.
1. -1
2. 0
3. -b
4. -a
Simplify:
1. 0
2. 1
3. x+y+z
4. None of these
If the HCF of the polynomials x2 + px +q and x2 + ax + b is x + l, then their LCM is ____________.
1. (x + a - l) ( x + l - p)
2. (x - (l + a)) (x + l - p) (x + l)
3. (x + a - l) (x + p - l) (x + l)
4. (x - l + a) (x - p + l) (x + l)
The expression is lowest terms is _________.
1.
2.
3.
4.
Simplify:
1. 0
2. 1
3.
4.
Simplify:
1.
2.
3.
4. 1
If the LCM of the polynomials and is then their HCF is _________.
1.
2.
3.
4.
If x2+x-1 is a factor of x4+px3+qx2-1, then the values of p and q can be
1. 2, 1
2. 1, -2
3. -1, -2
4. -2, -1
The HCF of two polynomials p(x) and q(x) using long division method was found to be x+5, if their first three quotients obtained are x, 2x+5, and x+3 respectively. Find p(x) and q(x). (The degree of p(x) > the degree of q(x))
1. p(x)=2x4+21x3+72x2+88x+15
q(x)=2x3+21x2+71x+80
2. p(x)=2x4-21x3-72x2-88x+15
q(x)=2x3+21x2-71x+80
3. p(x)=2x4+21x3+88x+15
q(x)=2x3+71x+80
4. p(x)=2x4-21x2-72x2+80x+15
q(x)=2x3-21x2+71x+80
If the HCF of the polynomials x3+px+q and x3+rx2+lx+x is x2+ax+b, then their LCM is _________. (r0)
1. (x2 + ax + b) (x + a) (x + a - r)
2. (x2 + ax + b) (x - a) (x - a + r)
3. (x2 + ax + b) (x - a) (x - a - r)
4. (x2 - ax + b) (x - a) (x - a + r)
If the HCF of the polynomials (x-3)(3x2+10x+b) and (3x-2)(x2-2x+a) is (x-3)(3x-2), then the relation between a and b is _________.
1.
2.
3.
4.
The HCF of the polynomials 12(x+2)3 (x2-7x+10) and 18(x2-4)(x2-6x+5) is __________.
1. (x2+3x+10)(x-2)
2. 6(x2+3x+10)(x+2)
3. (x2-3x-10)(x-2)
4. 6(x2-3x-10)(x-2)
The HCF of the polynomials (x2-4x+4)(x+3) and (x2+2x-3)(x-2) is ____________.
1. x+3
2. x-2
3. (x+3)(x-2)
4. (x+3)(x-2)2
The HCF of the polynomials 5(x2-16)(x+8) and 10(x2-64)(x+4) is _________.
1. x2+12+32
2. 5(x2+12x+32)
3. x2-12x+32
4. 5(x2-12x+32)
Find the HCF of 6x4y and 12xy.
1. 6x2y
2. 6x
3. 6y
4. 6xy
Find the LCM of p4a2r3 and q3p6r5.
1. p4q3r3
2. p4q2r5
3. p6q3r5
4. p6q2r5
The LCM of the polynomials 12(x3+27) and 18(x2-9) is ______________.
1. 6(x+3)
2. 36(x2-9)(x2+3x+9)
3. 36(x+3)2 (x2+3x+9)
4. 36(x2-9)(x2-3x+9)
The rational expression in its lowest terms is __________.
1.
2.
3.
4.
The LCM of the polynomials (x+3)2 (x-2)(x+1)2 and (x+1)3 (x+3)(x2-4) is _________.
1. (x+1)3 (x+3)(x2-4)
2. (x+3)2 (x+1)3 (x2-4)
3. (x+3)2 (x+1)3 (x+2)
4. (x+3)2 (x+1)2 (x-2)
The HCF of two polynomials p(x) and q(x) using long division method was found in two steps to be 3x-2, and the first two quotients obtained are x+2 and 2x+1. Find p(x) and q(x). (The degree of p(x) > the degree of q(x)).
1.
2.
3.
4.
Simplify:
1.
2.
3.
4.
If then _________.
1.
2.
3.
4.
Simplify: .
1.
2.
3.
4.
The rational expression is multiplied with the additice inverse of to get C. Then, C = __________.
1.
2.
3. 2
4. 1
If the HCF of then p = ___________.
1. -4
2. 3
3. -2
4. 5
If degree of both f(x) and [f(x)+g(x)] is 18, then degree of g(x) can be _______________.
1. 18
2. 9
3. 6
4. Any one of these
The product of additive inverse and multiplicative inverse of is ___________.
1.
2.
3.
4. None of these
What should be multiplied to to get
1.
2.
3.
4.
If and the LCM of f(x) and g(x) is then find the maximum value of
1. 4
2. 3
3. 2
4. 1
If then find the HCF of f(x) and g(x).
1.
2.
3.
4.
If
1.
2.
3.
4.
If and +14 x+c and the LCM of f(x), g(x) and h(x) is (x+8)(x-2)(x+6), then find a+b+c. (a, b and c are constants).
1. 20
2. 16
3. 32
4. 10
Simplify:
1.
2.
3.
4.
If LCM of f(x) and g(x) is then which of the following cannot be the HCF of f(x) and g(x)?
1. 2x+3
2. 3x+1
3. (2x+3)(3x+2)
4. 3x+2
If the LCM of f(x) and g(x) is then their HCF can be ___________.
1.
2.
3.
4. All of these