Find the maximum number of terms in the product of a binomial by a trinomial.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 6
Let consider a binomial term be $(x + y)$ and a trinomial term $(a + b + c)$ .
$= (x + y) (a + b + c) = x (a + b + c) + y (a + b + c) = a x + b x + c x + a y + b y + c y$
Hence, the maximum number of terms in the product of a binomial by a trinomial is 6.

Suggest Corrections

Similar questions

Categorize the following expressions based on the number of terms.

$a . u^{2} v + 2 u u v - 7 u v^{2} b . 6 x^{3} y z^{2} c . 3 s^{2} + s t + 3 t^{3}$

Question 56 (a)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$3 x^{2} y z^{2} - 3 x y^{2} z + x^{2} y z^{2} + 7 x y^{2} z$

Question 56 (c)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$p^{3} q^{2} r + p q^{2} r^{3} + 3 p^{2} q r^{2} - 9 p^{2} q r^{2}$

Join BYJU'S Learning Program