Advertisements
Advertisements
Question
Factorise the following:
9 – 18x + 8x2
Advertisements
Solution
Product = 9 × 8 = 72, sum = −18
Split the middle term as −12x and −6x
9 – 18x + 8x2 = 8x2 – 18x + 9
= 8x2 – 12x – 6x + 9
= 4x(2x – 3) – 3(2x – 3)
= (2x – 3)(4x – 3)
APPEARS IN
RELATED QUESTIONS
Identify polynomials in the following:
`p(x)=2/3x^3-7/4x+9`
Identify polynomials in the following:
`f(x)=2+3/x+4x`
In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x) and verify the result by actual division: (1−8)
f(x) = x3 + 4x2 − 3x + 10, g(x) = x + 4
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the values of the following cases, if 2R1 − R2 = 0.
Find α and β, if x + 1 and x + 2 are factors of x3 + 3x2 − 2αx + β.
If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.
What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x − 6?
x3 − 3x2 − 9x − 5
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then
