Separate monomials, binomials, trinomials and polynomials from the following algebraic expressions:
$8 - 3 x, x y^{2}, 3 y^{2} - 5 y + 8, 9 x - 3 x^{2} + 15 x^{3} - 7, 3 x \times 5 y, 3 x \div 5 y, 2 y \div 7 + 3 x - 7, 4 - a x^{2} + b x + y$

Open in App

Solution

Monomials: $x y^{2}, 3 x \times 5 y, 3 x \div 5 y$
Binomials: $8 - 3 x$
Trinomials: $3 y^{2} - 5 y + 8, 2 y \div 7 + 3 x - 7$
Polynomials: $9 x - 3 x^{2} + 15 x^{3} - 7, 4 - a x^{2} + b x + y$

Suggest Corrections

Similar questions

7 x y z, 9 - 4 y, 4 y^{2} - x z, x - 2 y + 3 z, 7 x + z^{2}, \frac{8 x}{y}, (\frac{8}{5}) x^{2} y^{2}, 4 + 5 y - 6 z

Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.

(i) $7 x$ (ii) $5 y - 7 z$ (iii) $3 x^{3} - 5 x^{2} - 11$ (iv) $1 - 8 a - 7 a^{2} - 7 a^{3}$

(v) $5 m - 3$ (vi) $a$ (vii) $4$

(viii) $3 y^{2} - 7 y + 5$

$\frac{F i r s t m o n o m i a l \to}{S e c o n d m o n o m i a l ↓}$	$2 x$	$- 5 y$	$3 x^{2}$	$- 4 x y$	$7 x^{2} y$	$- 9 x^{2} y^{2}$
$2 x$	$4 x^{2}$	.....	.....	.....	.....	.....
$- 5 y$	.....	.....	$- 15 x^{2} y$	.....	.....	.....
$3 x^{2}$	.....	.....	.....	.....	.....	.....
$- 4 x y$	.....	.....	.....	.....	.....	.....
$7 x^{2} y$	.....	.....	.....	.....	.....	.....
$- 9 x^{2} y^{2}$	.....	.....	.....	.....	.....	.....

3 x^{2}, 3 x + 2, x^{2} - 4 x + 2, x^{5} - 7, x^{2} + 3 x y + y^{2}, s^{2} + 3 s t - 2 t^{2}, x y + y z + z x, a^{2} b + b^{2} c, 2 l + 2 m

Join BYJU'S Learning Program