Advertisements
Advertisements
प्रश्न
Divide polynomial 3x3 - 8x2 + x + 7 by x - 3 using synthetic method and write the quotient and remainder.
उत्तर
Dividend = `3x^3 - 8x^2 + x +7`
Divisor = x - 3
Opposite of −3 = 3
The coefficient form of the quotient is (3, 1, 4).
∴ Quotient = 3x2 + x + 4 and Remainder = 19
APPEARS IN
संबंधित प्रश्न
Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.
`(y^3 - 216) ÷ (y - 6)`
Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.
`(y^3 - 3y^2 + 5y - 1) ÷ (y - 1)`
Find the quotient and remainder for the following using synthetic division:
(x3 + x2 – 7x – 3) ÷ (x – 3)
Find the quotient and remainder for the following using synthetic division:
(x3 + 2x2 – x – 4) ÷ (x + 2)
Find the quotient and remainder for the following using synthetic division:
(8x4 – 2x2 + 6x + 5) ÷ (4x + 1)
If the quotient obtained on dividing (8x4 – 2x2 + 6x – 7) by (2x + 1) is (4x3 + px2 – qx + 3), then find p, q and also the remainder
If the quotient obtained on dividing 3x3 + 11x2 + 34x + 106 by x – 3 is 3x2 + ax + b, then find a, b and also the remainder
Factorise the following polynomials using synthetic division:
– 7x + 3 + 4x3
Factorise the following polynomials using synthetic division:
x3 + x2 – 14x – 24
Factorise the following polynomials using synthetic division:
x3 – 7x + 6
