determine the value of 'a' for which the polynomial 2x^4-ax^3+4x^2+2x+1 is divisible by 1-2x
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Heya !!!
(-2X+1) is a factor of the given Polynomial.
(-2X+1) = 0
-2X = -1
X = 1/2
P(X) => 2X⁴ - AX³ + 4X² + 2X +1
P(1/2) = 0 because 1/2 Is a factor of the given Polynomial.
P(1/2) = 0
2 × (1/2)⁴ - A × (1/2)³ + 4 × (1/2)² + 2 × 1/2 + 1 = 0
2 × 1/16 - A × 1/8 + 4 × 1/4 + 1 + 1 = 0
1/8 - A/8 + 1 + 1 + 1 = 0
1 - A + 8 + 8 + 8 /8 = 0
1- A + 24 = 0 × 8
-A + 25 = 0
A = 25.
HOPE IT WILL HELP YOU...... :-)
(-2X+1) is a factor of the given Polynomial.
(-2X+1) = 0
-2X = -1
X = 1/2
P(X) => 2X⁴ - AX³ + 4X² + 2X +1
P(1/2) = 0 because 1/2 Is a factor of the given Polynomial.
P(1/2) = 0
2 × (1/2)⁴ - A × (1/2)³ + 4 × (1/2)² + 2 × 1/2 + 1 = 0
2 × 1/16 - A × 1/8 + 4 × 1/4 + 1 + 1 = 0
1/8 - A/8 + 1 + 1 + 1 = 0
1 - A + 8 + 8 + 8 /8 = 0
1- A + 24 = 0 × 8
-A + 25 = 0
A = 25.
HOPE IT WILL HELP YOU...... :-)
arpit38950:
hai anjali
Answered by
2
the value of a is 25
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