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This mock test of Polynomials - MCQ Test for Quant helps you for every Quant entrance exam.
This contains 10 Multiple Choice Questions for Quant Polynomials - MCQ Test (mcq) to study with solutions a complete question bank.
The solved questions answers in this Polynomials - MCQ Test quiz give you a good mix of easy questions and tough questions. Quant
students definitely take this Polynomials - MCQ Test exercise for a better result in the exam. You can find other Polynomials - MCQ Test extra questions,
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QUESTION: 1

If the quotient and remainder were 3y - 5 and 9y + 10, on dividing 3y^{3} + y^{2} + 2y + 5 by g(y). Find g(y)

Solution:
3Y3+Y2+2Y+5=(aY2+bY+c)(3Y-5)+9Y+19

=3aY3+(3b-5a)Y2+(3c-3b+9)Y-5c+10

Equate coefficient of Y3, Y2, Y, we get

a=1, b=2, and c=1

Hence,

aY2+bY+c=Y2+2Y+1

=3aY3+(3b-5a)Y2+(3c-3b+9)Y-5c+10

Equate coefficient of Y3, Y2, Y, we get

a=1, b=2, and c=1

Hence,

aY2+bY+c=Y2+2Y+1

QUESTION: 2

Obtain the zeroes of the quadratic polynomial pqx^{2} + (q^{2} - Pr)x - qr

Solution:

QUESTION: 3

If two of the zeroes are and . Find the other zeroes of t^{4} - 6t^{3} - 26t^{2} + 138^{t} - 35

Solution:

QUESTION: 4

If p and q are the zeroes of the quadratic polynomial 4x^{2} - 1 = 0. Find the value of p^{2} + q^{2}

Solution:

QUESTION: 5

Find the zeroes of the quadratic polynomial x^{2} + 19 x + 90

Solution:

QUESTION: 6

Find the sum and product of zeroes of the polynomial

Solution:

QUESTION: 7

Find the zeroes of the polynomial x^{2} - 21

Solution:

QUESTION: 8

Find the sum and product of the zeroes of polynomial x^{2} - 51

Solution:

QUESTION: 9

If p and q are the zeroes of the polynomial x^{2} - 5x - k. Such that p - q = 1, find the value of K

Solution:

QUESTION: 10

Find the sum and product of the zeroes of cubic polynomial 2x^{3} - 5x^{2} - 14x + 8.

Solution:

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