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Maths-

General

Easy

Question

What must be added to x³+3x-8 to get 3x³+x²+6?

hint 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: 3x³+ x²+ 6
Term : x³+ 3x - 8
○ Step 1:
○ Let A must be added to get 3x³+ x²+ 6.
So,
$rightwards double arrow$ A + x³+ 3x - 8 = 3x³+ x²+ 6
$rightwards double arrow$ A = (3x³+ x²+ 6 ) - (x³+ 3x - 8)
$rightwards double arrow$ A = 3x³+ x²+ 6 - x³- 3x + 8
$rightwards double arrow$ A = 3x³- x³+ x²- 3x+ 6 + 8
$rightwards double arrow$ A = 2x³+ x²- 3x+ 14

Final Answer:

Hence, the other term is 2x³+ x²- 3x+ 14.

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