Maths-
General
Easy
Question
Which of the following polynomials is equivalent to the expression above?
- x2 + 5
- x2 + 72
- 4x2 + 7
- x2 + 4x + 7
The correct answer is: x2 + 4x + 7
Hint:
The concept used in this question is of additon of polynomials.
Arrange the term in the decreasing order of their power.
To add polynomials simply add any like terms together.
Like terms are terms whose variables and exponents are the same.
Step by step explanation:
Given:
The expression: (2x + 6) + (x2 + 2x + 1)
Step 1:
Arrange the term in the decreasing order of their power
∴ (2x + 6) + x2 + 2x + 1
⇒ x2 + 2x + 2x + 1 + 6
Step 2:
Group the like terms
⇒ x2 + (2x + 2x) +( 1 + 6)
Step 3:
Perform simple addition of like terms
x2 + 4x + 7
Perform simple addition of like terms
x2 + 4x + 7
Hence, the polynomial equivalent to expression (2x + 6) + (x2 + 2x + 1) is x2 + 4x + 7
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