Advertisements
Advertisements
प्रश्न
Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
Advertisements
उत्तर
Let ` f(x) = 4x^3 + 20x^2 + 33x+ 18` be the given polynomial.
Therefore (2x + 3)is a factor of the polynomial f(x).
Now,
`f(x)= 2x^2 (2x + 3)+7x(2x + 3) + 6(2x + 3)`
`=(2x + 3){2x^2 + 4x 3x + 6}`
`= (2x + 3){2x^2 + 4x + 3x + 6}`
` = (2x + 3)(2x + 3)(x + 2)`
Hence (x +2),(2x+3) and (2x + 3 ) are the factors of polynomial f(x).
APPEARS IN
संबंधित प्रश्न
Identify polynomials in the following:
`g(x)=2x^3-3x^2+sqrtx-1`
f(x) = 4x4 − 3x3 − 2x2 + x − 7, g(x) = x − 1
f(x) = 2x3 − 9x2 + x + 12, g(x) = 3 − 2x
If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.
Using factor theorem, factorize each of the following polynomials:
x3 + 6x2 + 11x + 6
y3 − 2y2 − 29y − 42
Mark the correct alternative in each of the following:
If x − 2 is a factor of x2 + 3ax − 2a, then a =
If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then
Factorise the following:
`1/x^2 + 1/y^2 + 2/(xy)`
Factorise:
2x3 – 3x2 – 17x + 30
