Question

Drag the tiles to the boxes to form correct pairs.

Match each pair of polynomials to their sum.

Tiles:

12x^2 + 3x + 6 and -7x^2 – 4x – 2

-2x – 2

2x^2 – x and -x – 2x^2 – 2

2x^2

x^3 + x^2 + 2 and x^2 – 2 – x^3

2x^2 + 9x – 2

x^2 + x and x^2 + 8x – 2

5x^2 – x + 4

Answer 1

Hope you've found your answers.

Answer 2

The each pair of polynomials matches to their sums as 1 - D, 2 - A, 3 - B, 4 - C.

What is a polynomial expression?

A polynomial is an expression consisting of indeterminate's (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

For the given situation,

The pair of polynomials are

1. 12x^2 + 3x + 6 and -7x^2 – 4x – 2

Sum = $12x^2 + 3x + 6-7x^2 - 4x - 2$

⇒ $5x^{2} -x+4$

2. 2x^2 – x and -x – 2x^2 – 2

Sum = $2x^2 - x-x - 2x^2 - 2$

⇒ $-2x-2$

3. x^3 + x^2 + 2 and x^2 – 2 – x^3

Sum = $x^3 + x^2 + 2 +x^2 - 2 - x^3$

⇒ $2x^{2}$

4. x^2 + x and x^2 + 8x – 2

Sum = $x^2 + x+x^2 + 8x - 2$

⇒ $2x^{2} +9x-2$

Hence we can conclude that the each pair of polynomials matches to their sums as 1 - D, 2 - A, 3 - B, 4 - C.

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