$CATEGORY: Maths - TicTacLearn/2. Polynomials/2. Polynomials--Introduction

//Multiple Choice

The degree of this polynomial expression 5\(x^5\) – 2\(x^3\) + \(4x^2\) – x + 4  is {
= Degree of Polynomial is five
~ Degree of Polynomial is two
~ Degree of Polynomial is one
~ None of the above
}

The coefficient of \(x^2\) in this polynomial is 2+\(x^2\)+x {
~ 2
= 1
~ 4
~ None of the above
}

The  coefficient of \(x^2\) in this polynomial is 2-\(x^2\)+\(x^3\) {
~ 1
= -1
~ 2
~ None of the above
}

The  coefficient of \(x^2\) in this polynomial is π/2×\(x^2\)+x {
~ 2
~ -2
= π/2
~ None of the above
}

The  coefficient of \(x^2\) in this polynomial ___ √2x−1 is {
~ -2
~ -1
= 0
~ None of the above
}

The degree of the polynomial, \(x^4 – x^2\) +2 is {
~ 2
= 4
~ 1
~ 0
}

A polynomial of degree n has\: {
~ Only one zero
~ At least n zeroes
~ More than n zeroes
= At most n zeroes
}

//True or False

A Binomial can have at most two terms. {F}

Every polynomial is a Binomial. {F}

A binomial may have degree 5 {T}

Zero of a polynomial is always 0. {F}

A polynomial cannot have more than one zero. {F}

The degree of the sum of two polynomials each of degree 5 is always 5. {F}

A polynomial can have negative exponents. {F}

The zeroes of a quadratic polynomial are the values that satisfy the equation. {T}

A constant polynomial has no zeroes. {F}

A cubic polynomial always has three distinct zeroes. {F}

//Numericals



//Fill in the blanks

The degree of the polynomial (x+1)\((x^2-x-x^4+1)\) is___
is {
= 5
~ 6
~ 7
~ 8
}

_____ is the degree of a constant polynomial. {
~ 5
= 0
~ 7
~ 2
}

_____ is the degree of the polynomial \(2x^4+2x^2-x+7\) {
~ Three
= four
~ five
~ six
}

_____ is the degree of the polynomial \(5x^3+2x^2-x-7x+4\) {
~ 5
~ 0
= 3
~ 2
}

If x-3 is a factor of p(x), then p(3)\= {
~ 5
= 0
~ 7
~ 2
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=The value of the polynomial p(x)\=2\(x^2-3x+5\) at x\=1 is  ->4
=The polynomial \(x^2-9\) can be written as  -> (x+3)(x-3)
=A polynomial with only one term is called -> Monomial
=The number of zeroes of a quadratic polynomial is at most  -> 2
}



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