valur of k if x+k is a factor of x3+kx2-2x4
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Answered by
1
Putting x+k=0
x=-k
Putting x=-k in given polynomial,
-k³+k³-2k4=0
-2k4=0
k=0
x=-k
Putting x=-k in given polynomial,
-k³+k³-2k4=0
-2k4=0
k=0
BhavyBhatnagar:
kk
Answered by
1
Hi friend!!
x+k is a factor of given polynomial.
x+k = 0
x = -k
Put x = -k,
x³ + kx² - 2x⁴ = 0
→ (-k)³ + k(-k)² - 2(-k)⁴ = 0
→ -k³ + k(k²) - 2k⁴ = 0
→ -k³+k³ - 2k⁴ = 0
→ -2k⁴ = 0
→ k⁴ = 0
→ k = 0
Hope it helps...
x+k is a factor of given polynomial.
x+k = 0
x = -k
Put x = -k,
x³ + kx² - 2x⁴ = 0
→ (-k)³ + k(-k)² - 2(-k)⁴ = 0
→ -k³ + k(k²) - 2k⁴ = 0
→ -k³+k³ - 2k⁴ = 0
→ -2k⁴ = 0
→ k⁴ = 0
→ k = 0
Hope it helps...
correct answer is 1
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