Subtraction of Polynomials

Q.

Simplify: $(a+b)(2a-3b+c)-(2a-3b)\left(c\right)$. [3 MARKS]

Q. What is the value of a if the degree of the polynomial $x^2+x^{a-2}+xy+x{y}^2+3$ is 4?

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

Q.

The sum of two binomials is $5x^2-6x$. If one of the binomial is $3x^2-2x$. Find the other.

1. $2x^2-4x$

2. $2x^2-8x$

3. $8x^2-4x$

4. $8x^2-8x$

Q.

$4abc+\frac{1}{3}abc+$ ___ $+$$\frac{2}{3}abc$ = 0

Q.

The degree of the polynomial obtained when $8-6x+x^2-7x^3+x^5$ is subtracted from$x^4-6x^3+x^2-3x+1$ is:

1. $5$

2. $1$

3. $3$

4. $4$

Q.

If we subtract $x^2+3x-8$ from $x^2+x+6$, we obtain $-2x+14$ .

1. 3 - 8

2. - 2x + 14

Q.

What must be subtracted from $x^3-3x^2+5x-1$ to get $2x^3+x^2-4x+2$ ?

1. 

2. 

3. 

4. 

Q.

What must be subtracted from $4x^3-3x+5$ to get $2x^2-3x^3+5x-2$?

1. - - 8x + 7
   

2. - - 8x + 7
   

3. + - 8x + 7
   

4. - - 8x + 3
   

Q.

What must be subtracted from $4x^3-3x+5$ to get $2x^2-3x^3+5x-2$ ?

1. - - 8x + 7
   

2. - - 8x + 3
   

3. + - 8x + 7
   

4. - - 8x + 7
   

Q.

By how much is $5a^2{b}^2-18a{b}^2-10a^{2}b$ greater than $-5a^2+6a^{2}b-7ab$?

1. $5a^2{b}^2+18a{b}^2+16a^{2}b-5a^2-7ab$

2. $5a^2{b}^2-18a{b}^2-16a^{2}b+5a^2+7ab$

3. $5a^2{b}^2-18a{b}^2-16a^{2}b+5a^2-7ab$

4. $5a^2{b}^2-18a{b}^2-16a^{2}b-5a^2+7ab$

Q.

Add the following expressions using column method:

$-15a-6b,-3a+5b,16a-10b$

Q.

Subtract$(8-6x+x^2-7x^3+x^5)$ from$(x^4-6x^3+x^2-3x+1)$.

1. $-x^5+x^4+x^3+3x$

2. $-x^5+x^4+x^3-7$

3. $-x^5+x^4+x^3+3x-7$

4. $-x^5+x^4+4x^3+3x-7$

Q. The value of $9x^2+49y^2-42xy$ when $x=15$ and $y=3$ is ___________.

1. $636$
2. $576$
3. $456$
4. $386$

Q.

Find the degree of the polynomial

${(x+(x^3-1{)}^{\frac{1}{2}})}^5+{(x-(x^3-1{)}^{\frac{1}{2}})}^5$

Q.

Find the third side of a triangle whose two sides are $(3x^2-5x)$ cm and $(4x^2+12)$ cm and perimeter is $(8x^2-9x+4)$ cm.

1. $(x^2+4x-8)$ cm

2. $(x^2-4x+8)$ cm

3. $(x^2-4x-8)$ cm

4. $(x^2+4x+8)$ cm

Q.

What must be subtracted from $4x^3-3x+5$ to get $2x^2-3x^3+5x-2$?

1. - - 8x + 3
   

2. - - 8x + 7
   

3. - - 8x + 7
   

4. + - 8x + 7
   

Q.

What remains when $7x-3x^2$ is taken away from $4x+8x^2$?

1. 11x² − 5x

2. 11x²

3. - 3x

4. 11x² − 3x

Q.

Add the following expressions using column method:

$5a-6b,7a+8b,-5a+2b$

Q. The number $LIV$ is greater than $LVI$.

1. True
2. False