Maths-

General

Easy

Question

# What must be added to x^{3}+3x-8 to get 3x^{3}+x^{2}+6?

Hint:

### Addition of polynomials.

○ Always take like terms together while performing addition.

○ In addition to polynomials only terms with the same coefficient are added.

## The correct answer is: Hence, the other term is 2x3 + x2 - 3x + 14.

### Answer:

- Step by step explanation:

○ Given:

Sum: 3x^{3 }+ x^{2 }+ 6

Term : x^{3 }+ 3x - 8

○ Step 1:

○ Let A must be added to get 3x^{3 }+ x^{2 }+ 6.

So,

A + x^{3 }+ 3x - 8 = 3x^{3 }+ x^{2 }+ 6

A = (3x^{3 }+ x^{2 }+ 6 ) - (x^{3 }+ 3x - 8)

A = 3x^{3 }+ x^{2 }+ 6 - x^{3 }- 3x + 8

A = 3x^{3}- x^{3 }+ x^{2 }- 3x+ 6 + 8

A = 2x^{3 }+ x^{2 }- 3x+ 14

- Final Answer:

Hence, the other term is 2x^{3 }+ x^{2 }- 3x+ 14.

^{3 }+ 3x - 8 = 3x

^{3 }+ x

^{2 }+ 6

^{3 }+ x

^{2 }+ 6 ) - (x

^{3 }+ 3x - 8)

^{3 }+ x

^{2 }+ 6 - x

^{3 }- 3x + 8

^{3}- x

^{3 }+ x

^{2 }- 3x+ 6 + 8

^{3 }+ x

^{2 }- 3x+ 14

### Related Questions to study

Maths-

### Simplify and write the polynomial in its standard form.

### Simplify and write the polynomial in its standard form.

Maths-General

Maths-

### Write the polynomial in its standard form.

### Write the polynomial in its standard form.

Maths-General

Maths-

### Name the polynomial based on its degree and number of terms.

### Name the polynomial based on its degree and number of terms.

Maths-General

Maths-

### Show m = 2 for the straight line 8x - 4y = 12.

### Show m = 2 for the straight line 8x - 4y = 12.

Maths-General

Maths-

### Simplify. Write each answer in its standard form.

### Simplify. Write each answer in its standard form.

Maths-General

Maths-

### Simplify. Write each answer in its standard form.

### Simplify. Write each answer in its standard form.

Maths-General

Maths-

### Simplify -6 + 4a^{2 }+ 2b^{2} - 7xz - 3xz + 4a^{2 }- 5b^{2 }- 2.

### Simplify -6 + 4a^{2 }+ 2b^{2} - 7xz - 3xz + 4a^{2 }- 5b^{2 }- 2.

Maths-General

Maths-

Maths-General

Maths-

### The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

### The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

Maths-General

Maths-

### Combine like terms and write the given polynomial in the standard form.

### Combine like terms and write the given polynomial in the standard form.

Maths-General

Maths-

### Simplify. Write each answer in its standard form.

### Simplify. Write each answer in its standard form.

Maths-General

Maths-

### Subtract 12a +3b-c from the sum of 9a+4b-5c and 3a-6b+4c

### Subtract 12a +3b-c from the sum of 9a+4b-5c and 3a-6b+4c

Maths-General

Maths-

### Given that the coordinate (3, 4) lies on the line y = 3x + c calculate the y-intercept of the straight line.

### Given that the coordinate (3, 4) lies on the line y = 3x + c calculate the y-intercept of the straight line.

Maths-General

Maths-

### Combine like terms and write the given polynomial in the standard form.

### Combine like terms and write the given polynomial in the standard form.

Maths-General

Maths-

### Rewrite the polynomial in the standard form.

### Rewrite the polynomial in the standard form.

Maths-General