Question

A school organized a mathematical exhibition in the school

premises. To make the decoration more attractive children

made hangings related to mathematics. One of the students

made 2 hangings with polynomials written on them​

Answer 1

Answer:

i) p(y) is quadratic polynomial and q(x) is a cubic polynomial

ii) degree of p(y)=2 , degree of q(x)=3

iii)p(-2)= 9(-2)²-9(-2)+2

= 9(4)+18+2

=36+18+2

=56

iv) coeff of y²= 9

coeff of x³= 1

Answer 2

The answers are:

i) p(y) is a trinomial and q(x) is a binomial.

ii) The degree of p(y) is 2, and the degree of q(x) is 3.

iii) The value of p(-2) = 56.

iv) The coefficient  $y^2$ is 9, and the coefficient  $x^3$ is 1.

Step-by-step explanation:

Given: Two polynomials $p(y) = 9y^2 -9y+ 2$ and $q(x) = x^3 -64$

Solutions:

i) p(y) has three terms, hence, p(y) is a trinomial.

q(x) has two terms, hence, q(x) is a binomial.

ii) A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

Thus, the degree of p(y) is 2, and the degree of q(x) is 3.

iii)The value of p(-2) can be calculated by putting $y = -2$ in the equation:

$p(-2)= 9(-2)^2-9(-2)+2$

$= 9(4)+18+2$

$=36+18+2$

$=56$

Thus, p(-2) = 56

iv) The coefficients are the numbers written before the variables.

Thus, the coefficient  $y^2$ is 9, and the coefficient  $x^3$ is 1.