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प्रश्न
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
विकल्प
5 + x
5 – x
5x – 1
10x
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उत्तर
One of the factors of (25x2 – 1) + (1 + 5x)2 is 10x.
Explanation:
Now, (25x2 – 1) + (1 + 5x)2
= 25x2 – 1 + 1 + 25x2 + 10x ...[Using identity, (a + b)2 = a2 + b2 + 2ab]
= 50x2 + 10x
= 10x (5x + 1)
Hence, one of the factor of given polynomial is 10x.
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संबंधित प्रश्न
Determine the following polynomial has (x + 1) a factor:
x3 + x2 + x + 1
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `2x^2+kx+sqrt2`
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
x3 – 2x2 – x + 2
Factorise:
x3 + 13x2 + 32x + 20
Factorise:
1 + 64x3
Factorise:
`a^3 - 2sqrt(2)b^3`
Factorise:
a3 – 8b3 – 64c3 – 24abc
Factorise:
`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
