ID : U-1582466-5-5472 (wd2007hello@gmail.com) [1]
Year 9
Polynomials
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Choose correct answer(s) from the given choices
(1)
Factorize: 16x 4 + 324
a. (4x 2 − 12x + 18) (4x 2 − 12x + 18)
b. (4x 2 + 12x + 18) (4x 2 − 12x + 18)
c. (4x 2 + 12x + 18) (4x 2 + 12x + 18)
d. (4x 2 + 12x + 18) (4x 2 − 12x − 18)
(2)
Factorize:
u
2
− 1 − 2d − d
2
a. (u − 1 − d)2
b. (u + 1 − d)(u + 1 + d)
c. (u − 1 − d)(u + 1 + d)
d. (u − 1 − d)(u − 1 + d)
Fill in the blanks
(3)
The degree of s10 +
1
s + 10√28
is
.
28
(4)
Let m ≠ n be two real numbers such that m2 = n + 5 and n2 = m + 5. The value of
9mn − m
(5)
3
− n
3
is
.
If x = 2 and x = 0 are the roots of the polynomial, f(x) = 14x 3 − cx 2 + cx + d , then the
values of c and d are
and
respectively.
Answer the questions
(6)
If x = 1 is a root of the polynomial, f(x) = 9x 81 + 10x 64 − 4x 33 − 6a, find the value of a.
(7)
Factorize:
2
(m + 4n)
+ 2m + 8n
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ID : U-1582466-5-5472 (wd2007hello@gmail.com) [2]
(8)
Factorise:
1 + 2st − s
(9)
2
2
− t
Factorize by the method of completing the square:
4y
2
− 36y + 77
(10) Factorize: a3 +
1
a
3
2
− 2a −
a
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