Advertisements
Advertisements
प्रश्न
Multiply the given polynomial.
`2y + 1 ; y^2 - 2y^3 + 3y`
Advertisements
उत्तर
`(2y + 1) xx ( y^2 - 2y^3 + 3y)`
`= 2y (y^2 - 2y^3 + 3y) + 1 (y^2 - 2y^3 + 3y)`
`= 2y^3 - 4y^4 +6y^2 + y^2 - 2y^3 + 3y`
`= -4y^4 + 2y^3 - 2y^3 +6y^2 + y^2 + 3y`
`= -4y^4 +7y^2 + 3y`
APPEARS IN
संबंधित प्रश्न
The tens and units place of a two digit number is m and n respectively. Write the polynomial which represents the two digit number.
Add the given polynomials.
`x^3 - 2x^2 - 9 ; 5x^3 + 2x + 9`
Add the given polynomial.
`-7m^4 +5m^3 + sqrt2 ; 5m^4 - 3m^3 + 2m^2 + 3m - 6`
Subtract the second polynomial from the first.
`2ab^2 + 3a^2b - 4ab ; 3ab - 8ab^2 + 2a^2b`
Multiply the given polynomial.
`x^5 - 1 ; x^3 +2x^2 + 2`
Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.
`x^3 - 64 ; x - 4`
Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.
`5x^5 + 4x^4 - 3x^3 + 2x^2 +2;x^2-x`
There is a rectangular farm with length `(2a^2 + 3b^2)` metre and breadth `(a^2 + b^2)` metre. The farmer used a square shaped plot of the farm to build a house. The side of the plot was `(a^2 - b^2)` metre.
What is the area of the remaining part of the farm?
Add the following polynomial.
`7x^4 - 2x^3 + x + 10 ; 3x^4 + 15x^3 + 9x^2 - 8x + 2`
Multiply the following polynomial.
`(m^3 - 2m + 3)(m^4 - 2m^2 + 3m + 2)`
Simplify.
(8m2 + 3m − 6) − (9m − 7) + (3m2 − 2m + 4)
Which polynomial is to be subtracted from x2 + 13x + 7 to get the polynomial 3x2 + 5x − 4?
Which polynomial is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10?
