Skip to content
p.paperbanao.
Continue

Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 9 TestUNIT 9: Division of Polynomials

27 marks · 40 minutes · 18 questions. Covers: UNIT 9: Division of Polynomials.

Your school name

1st Year Mathematics Chapter 9 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 27Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 7 × 1 = 7)

  1. If x-a is factor of f(x) then f(x)=0, x=a is called:

    1. Root

    2. Factor

    3. Polynomial

    4. Degree

  2. Synthetic division is a process of ......:

    1. Addition

    2. Multiplication

    3. Subtraction

    4. Division

  3. x3-3x2+2x-6 has factor:

    1. x-4

    2. x-3

    3. x+3

    4. x+2

  4. Observed-predicted =:

    1. Profit

    2. Loss

    3. Error

    4. Absolute

  5. Polynomial regression is used when the data shows ...... relationship:

    1. Linear

    2. Curved

    3. Constant

    4. Absolute

  6. Dividend = (divisor)(quotient)+ ......:

    1. Zero

    2. Remainder

    3. Divisor

    4. None of these

  7. Factor of f(x)=xn-an, where n is positive integer is:

    1. x+a

    2. x-a

    3. x-1

    4. x-2

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. When the polynomial 4x4+2x3+kx2+13 is divided by x+1, the remainder is 16. Find the value of k.

  2. Use factor theorem to find the values of a and b if -2 and 2 are the roots of the polynomial 2x3+4x2+ax+b.

  3. Find the remainder without performing division when f(x)=x4+x3+x2+1 is divided by x+1.

  4. Use synthetic division to show that x is the zero of the polynomial and use the result to factorize the polynomial completely: x3-28x-48, x=-4

  5. Use the factor theorem to determine the first polynomial is a factor of the second polynomial: x+1 , x3+x2+x-3

  6. Solve a polynomial regression model P(x) 3x3-4x2+2x-5. If a data point ar x=-1 is missing. What should be its predicted value?

  7. Use the factor theorem to determine the first polynomial is a factor of the second polynomial: x+1 , x2-1

  8. Calculate data set of monthly sales figure. A polynomial regression model P(x)=x3+x2+2x+1 is fitted to this data. If the observed sales in the 3rd month are 40 units, find the percentage error.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. A retailer company has developed a polynomial regression model to predict weekly product demand: D(w)=w3-2w2+5w-4, where D(w) represent predicted demand (in units) and w is the week number. Use the demand is 22 units, calculated the prediction error.

  2. A signal process system has a transfer function . Find the zero(s) of the transfer function by using factor theorem.

  3. The denominator of signal processing system's transfer function equal to A(z)=z2+1.2z+0.35. Use factor theorem to determine the location of the corresponding poles and assess the stability of the system.