Advertisements
Advertisements
प्रश्न
Find the quotient and the remainder when :
6x2 + x − 15 is divided by 3x + 5. verify your answer.
Advertisements
उत्तर
`3"x"+5)overline(6"x"^2+"x"−15)(2"x"−3`
6x2 + 10x
− −
−9x − 15
−9x − 15
+ +
×
∴ Quotient = 2x − 3 and remainder = 0
Verification :
Dividend = Quotient × Divisor + Reminder
= (2x − 3) (3x + 5) + 0
= 6x2 + 10x − 9x − 15 + 0
= 6x2 + x − 15 which is given
APPEARS IN
संबंधित प्रश्न
Work out the following division:
(10x − 25) ÷ (2x − 5)
Divide as directed.
5(2x + 1) (3x + 5) ÷ (2x + 1)
Factorise the expression and divide them as directed.
(y2 + 7y + 10) ÷ (y + 5)
Factorise the expression and divide them as directed.
(5p2 − 25p + 20) ÷ (p − 1)
Factorise the expression and divide them as directed.
5pq(p2 − q2) ÷ 2p(p + q)
Find the greatest common factor (GCF/HCF) of the following polynomial:
6x3y and 18x2y3
Find the greatest common factor (GCF/HCF) of the following polynomial:
x3, − yx2
Divide: 4a2 + 12ab + 9b2 − 25c2 by 2a + 3b + 5c
The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.
