Question

Which polynomial should be added to 3x3 - 2x2 + 3 to get the polynomial
3x² +4?
(1) 3x3 + 5x2 +1 (2) 3x2 – 5x +1 (3) - 3x3 + 5x2 +1 (4) - 3x3 - 5x2 + 1
Answer with explanation ​

Answer 1

-3x³ + 5x² + 1  should be added to 3x³ - 2x²  + 3 to get the polynomial 3x² + 4

Step-by-step explanation:

Let say polynomial f(x) to be added to 3x³ - 2x²  + 3 to get the polynomial 3x² + 4

=> f(x) + 3x³ - 2x²  + 3  = 3x² + 4

=> f(x) =  3x² + 4 - (3x³ - 2x²  + 3)

=> f(x) = 3x² + 4  -3x³ + 2x²  - 3

=> f(x) = -3x³ + 5x² + 1

-3x³ + 5x² + 1   - option 3

-3x³ + 5x² + 1  should be added to 3x³ - 2x²  + 3 to get the polynomial 3x² + 4

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