POLYNOMIALS

1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x 2 – 3x + 7 (ii) y 2 + 2 (iii) 3 2 t t + (iv) y + 2 y (v) x 10 + y 3 + t 50

• (ii) and (iii) are polynomials in one variable, (v) is a polynomial in three variables, (i), (iv) are not polynomials, because in each of these exponent of the variable is not a whole number.

• (i) and (ii) are polynomials in one variable, (v) is a polynomial in three variables, (iii), (iv) are not polynomials, because in each of these exponent of the variable is not a whole number.

• (iv) and (vii) are polynomials in one variable, (v) is a polynomial in three variables, (iii), (ii) are not polynomials, because in each of these exponent of the variable is not a whole number.

• (ii) and (iii) are polynomials in one variable, (vi) is a polynomial in three variables, (i), (iv) are not polynomials, because in each of these exponent of the variable is not a whole number.

Which of these is in Standard Form?

•  $4x^2+12x-13x^3$  

•  $5-3x$  

•  $2x^4-12x^2+5x-9$  

•  $5x^5+4x^{\text{4}}+12x^3-23x+15$  

What is the number of zeroes of the polynomial y = p(x)?

• 3

• 2

• 1

• 0

Polynomial or not?

• polynomial
• not a polynomial

Find the remainder obtained on dividing p(x) = x³ + 1 by x + 1.

• 0

• 1

• 2

• 3

x³-3x⁴-5x⁵ is a

• cubic polynomial

• 4th degree polynomial

• 5th degree polynomial

• none

Which of these is in Standard Form?

•  $4x^2+12x-13x^3$  

•  $5-3x$  

•  $2x^4-12x^2+5x-9$  

•  $5x^5+4x^{\text{4}}+12x^3-23x+15$  

What is the number of zeroes of the polynomial y = p(x)?

• 3

• 2

• 1

• 0

Polynomial or not?

• polynomial
• not a polynomial

A polynomial that has two terms is a:

• polynomial
• monomial
• binomial