Advertisements
Advertisements
प्रश्न
Find the quotient and the remainder when 3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. in case, verify your answer.
Advertisements
उत्तर
`"x"-3)overline(3"x"^4+6"x"^3-6"x"^2+2"x"-7)(3"x"^3+15"x"^2+39"x"+119`
3x4 − 9x3
− +
15x3 − 6x2 + 2x − 7
15x3 − 45x2
− +
39x2 + 2x − 7
39x2 − 117x
− +
119x − 7
119x − 357
− +
350
∴ Quotient = 3x3 + 15x2 + 39x + 119 and reminder = 350
Verification:
Dividend = Quotient × Divisor + Reminder
= (3x3 + 15x2 + 39x + 119) (x − 3) + 350
= 3x4 + 15x3 + 39x2 + 119x − 9x3 − 45x2 − 117x − 357 + 350
= 3x4 + 6x3 − 6x2 + 2x − 7 which is given
APPEARS IN
संबंधित प्रश्न
Work out the following division:
(10x − 25) ÷ 5
Divide as directed.
5(2x + 1) (3x + 5) ÷ (2x + 1)
Divide as directed.
26xy(x + 5) (y − 4) ÷ 13x(y − 4)
Factorise the expression and divide them as directed.
(5p2 − 25p + 20) ÷ (p − 1)
Find the greatest common factor (GCF/HCF) of the following polynomial:
12ax2, 6a2x3 and 2a3x5
Find the greatest common factor (GCF/HCF) of the following polynomial:
9x2, 15x2y3, 6xy2 and 21x2y2
Find the greatest common factor (GCF/HCF) of the following polynomial:
14x3y5, 10x5y3, 2x2y2
Divide: 12x2 + 7xy − 12y2 by 3x + 4y
Divide: 6x3 − 13x2 − 13x + 30 by 2x2 − x − 6
Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.
