Advertisements
Advertisements
Question
Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3
Advertisements
Solution
`-"x"^3+"x"+4)overline(+"x"^6-2"x"^4-8"x"^3+"x"^2+8"x"+16)(-"x"^3+"x"+4`
+ x6 − x4 − 4x3
− + +
−x4 −4x3 + x2 + 8x +16
−x4 + x2 + 4x
+ − −
−4x3 + 4x + 16
−4x3 + 4x + 16
+ − −
×
∴ −x3 + x + 4
APPEARS IN
RELATED QUESTIONS
Factorise the expression and divide them as directed.
(m2 − 14m − 32) ÷ (m + 2)
Factorise the expression and divide them as directed.
5pq(p2 − q2) ÷ 2p(p + q)
Factorise the expression and divide them as directed.
39y3(50y2 − 98) ÷ 26y2(5y + 7)
Find the greatest common factor (GCF/HCF) of the following polynomial:
42x2yz and 63x3y2z3
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.
The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.
The product of two numbers-is 16x4 – 1. If one number is 2x – 1, find the other.
Divide x6 – y6 by the product of x2 + xy + y2 and x – y.
