Multiplication of a Binomial by a Trinomial

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

1. 2
2. 5
3. 6
4. 7

Q.

Question 83 (ii)

Multiply the following :

$3x^2{y}^2{z}^2,17xyz$

Q. Multiply $(x^2+x+1)$ by $(1-x)$.

1. $-x^3+2x^2-2x+1$
2. $-x^3+1$
3. $x^3-2x^2+2x-1$
4. $x^3-1$

Q.

Categorize the following expressions based on the number of terms.

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

1. a – polynomial, b – monomial, c – trinomial

2. a – trinomial, b – monomial, c – trinomial

3. a – binomial, b – monomial, c – trinomial

4. a – binomial, b – trinomial, c – monomial

Q. $2x^2+4xy-3x$ subtracted from $3x-xy+8y^2$

Q. Question 83 (viii)

Multiply the following:
$x^2{y}^2{z}^2$ and (xy - yz + zx)

Q. State whether True or False.

1. True
2. False

Q. The product of $(x^2+3x+5)$ and $(x^2-1)$ is

1. $x^4+3x^3-4x^2-3x-5$
2. $x^4+3x^3+4x^2-3x-5$
3. $x^4+3x^3+4x^2+3x-5$
4. none of these

Q. Divide :
$x^5-15x^4-10x^2$ by $-5x^2$

Q. State True or False: $3x^2-x-4$$=(3x-1)(x+4)$

1. True
2. False

Q. If the adjacent sides of a rectangle are $(x^2-x+2)$ units and $(x^2+x-2)$ units long, find the area of the rectangle.

1. $(x^4-5x^3-x^2)$ square units
2. $(x^4-x^3-4x^2+4)$ square units
3. $(x^4-x^3-x^2-4x)$ square units
4. $(x^4-x^2+4x-4)$ square units

Q. Multiply $(2x^2-6x+10)$ by $(x+y^2)$ .

1. $2x^3+12x^2{y}^2-6x^2-x{y}^2+10y^2+10x$
2. $2x^3+2x^2{y}^2-6x^2+16x{y}^2+10y^2+10x$
3. $2x^3+x^2{y}^2-6x^2-6x{y}^2+10y^2$
4. $2x^3+2x^2{y}^2-6x^2-6x{y}^2+10y^2+10x$