Q7 of 82 Page 117

I write two separate trinomials in one variable whose degrees are 3.

(Note: The degree is the value of the greatest (highest) exponent of any expression (except the constant) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial).

(Trinomial means the polynomial will have three terms and degree 3 means that highest power should be 3).


∴ First binomial: 7 x3 – 4x -7


Second Binomial: x3+5x2-x


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I write two separate binomials in one variable whose degrees are 17.

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I write two separate monomials in one variable whose degrees are 4.

 8

In the following algebraic expressions, which are polynomials in one variable, which are polynomials in two variables and which are not polynomials —Let us write them.

(i) x2 + 3x + 2


(ii) x2 + y2 + a2


(iii) y2 – 4ax


(iv) x + y + 2


(v) x8 + y4 + x5y9


(vi)

1

If f(x) = x2 + 9x – 6, then let us write by calculating the values of f(0), f(1) and f(3).