Construct:

(i) 2 binomials with 3 variables.

(ii) 3 polynomials with 3 terms and 2 variables.

(iii) 2 trinomials with x as the only variable.

(iv) 3 binomials with x and y as variable. [4 MARKS]

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Solution

Application: 1 Mark each

$(i) x y + x y z, 4 x^{2} y + 5 x y z$

$(i i) 4 a b^{2} + 5 a b + 10 a, 5 x y + 4 y - 24 a n d 10 x^{2} y^{2} + 12 x^{2} y - 5 x y^{2}$

$(i i i) 4 x^{2} + 5 x - 16, 5 x^{3} - 2 x^{2} + 24$

$(i v) 10 x^{2} y^{2} + 12 x^{2} y, 8 x y - 5 x a n d 5 x y + 8 x$

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Question 1
Classify the following polynomials as polynomials in one variable, two variables etc.

(i) $x^{2} + x + 1$

(ii) $y^{3} - 5 y$

(iii) $x y + y z + z x$

(iv) $x^{2} - x y + y^{2} + 1$

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Construct: (i) 2 binomials with 3 variables. (ii) 3 polynomials with 3 terms and 2 variables. (iii) 2 trinomials with x as the only variable. (iv) 3 binomials with x and y as variable. [4 MARKS]

Application: 1 Mark each (i) xy+xyz,4x2y+5xyz (ii) 4ab2+5ab+10a,5xy+4y−24 and 10x2y2+12x2y−5xy2 (iii) 4x2+5x−16,5x3−2x2+24 (iv) 10x2y2+12x2y,8xy−5x and 5xy+8x

Construct:

(i) 2 binomials with 3 variables.

(ii) 3 polynomials with 3 terms and 2 variables.

(iii) 2 trinomials with x as the only variable.

(iv) 3 binomials with x and y as variable. [4 MARKS]

Application: 1 Mark each

$(i) x y + x y z, 4 x^{2} y + 5 x y z$

$(i i) 4 a b^{2} + 5 a b + 10 a, 5 x y + 4 y - 24 a n d 10 x^{2} y^{2} + 12 x^{2} y - 5 x y^{2}$

$(i i i) 4 x^{2} + 5 x - 16, 5 x^{3} - 2 x^{2} + 24$

$(i v) 10 x^{2} y^{2} + 12 x^{2} y, 8 x y - 5 x a n d 5 x y + 8 x$