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प्रश्न
Factorise the following:
9x2 – 12x + 3
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उत्तर
9x2 – 12x + 3 = 3(3x2 – 4x + 1) ...[Taking 3 common factor]
= 3(3x2 – 3x – x + 1) ...[By splitting middle term]
= 3[3x(x – 1) – 1(x – 1)]
= 3(3x – 1)(x – 1)
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संबंधित प्रश्न
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:
2x2 + 7x + 3
Factorise:
x3 – 2x2 – x + 2
Determine the following polynomial has (x + 1) a factor:
`x^3-x^2-(2+sqrt2)x+sqrt2`
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
If x + 1 is a factor of ax3 + x2 – 2x + 4a – 9, find the value of a.
Factorise:
2x2 – 7x – 15
Factorise:
`a^3 - 2sqrt(2)b^3`
