Question

factorise 10 X square + 14 x cube + 4 x to the power 4




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Answer 1

Answer:

x = -1 or x = -5/2

Step-by-step explanation:

Given,

p(x) = 10x^2 + 14x^3 + 4x^4

2x^2{5 + 7x + 2x^2} = 0

2x^2 + 7x + 5 = 0

Applying middle term factorisation

we get,

2x^2 + 5x + 2x + 5 = 0

2x(x+1) + 5(x+1) = 0

Either

x+1= 0

x = -1

or

2x + 5 = 0

x = -5/2

Verification can be done by replacing the value if x in p(x)