Advertisements
Advertisements
Question
Find the factor of the polynomial given below.
`1/2x^2 - 3x + 4`
Solution
`1/2x^2 - 3x + 4`
`= 1/2x^2 - 6/2x + 8/2`
`= 1/2(x^2 - 6x + 8)`
`= 1/2(x^2 - 4x - 2x + 8)`
`= 1/2 x(x - 4) - 2(x - 4)`
`= 1/2 (x - 4)(x - 2)`
`= (x - 4)(1/2x - 1)`
APPEARS IN
RELATED QUESTIONS
Determine the following polynomial has (x + 1) a factor:
x3 + x2 + x + 1
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = x3 − 4x2 + x + 6, g(x) = x − 3
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `kx^2 - sqrt2x +1`
Factorise:
3x2 – x – 4
Determine the following polynomial has (x + 1) a factor:
x4 + 3x3 + 3x2 + x + 1
Determine the following polynomial has (x + 1) a factor:
`x^3-x^2-(2+sqrt2)x+sqrt2`
Find the factor of the polynomial given below.
2m2 + 5m – 3
Show that x + 3 is a factor of 69 + 11x – x2 + x3.
Factorise the following:
9x2 – 12x + 3
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
