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:
`p(x)=2/3x^3-7/4x+9`
Identify polynomials in the following:
`h(x)=x^4-x^(3/2)+x-1`
If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)
If the polynomials 2x3 + ax2 + 3x − 5 and x3 + x2 − 4x +a leave the same remainder when divided by x −2, find the value of a.
If the polynomials ax3 + 3x2 − 13 and 2x3 − 5x + a, when divided by (x − 2) leave the same remainder, find the value of a.
If both x − 2 and \[x - \frac{1}{2}\] are factors of px2 + 5x + r, then
If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then
Factorise the following:
m2 + 2mn – 24n2
(a + b – c)2 is equal to __________
Factorise:
2x3 – 3x2 – 17x + 30
