Question

Write all the terms of the polynomial

f (x) = 5x4 + 4x3 + 3x + 2.​

Answer 1

Terms are-

1) 5*4

2) 4*3

3) 3x

4) 2

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Answer 2

Given :  5x⁴ + 4x³ + 3x + 2

To find : Factorize

Solution:

f(x) = 5x⁴ + 4x³ + 3x + 2

f(-1) = 5(-1)⁴ + 4(-1)³ + 3(-1) + 2

=> f(-1) = 5 - 4  - 3 + 2

=> f(-1) = 0

=> -1  is one of the zero

(x -(-1)) = x + 1 is a factor

5x⁴ + 4x³ + 3x + 2  

= (x + 1)( 5x³ - x² + x + 2)

no further feasible  factors as x ≈ -0.5947 is one of the zero of 5x³ - x² + x + 2

5x⁴ + 4x³ + 3x + 2 = (x + 1) (5x³ - x² + x + 2)

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