GUYS PLZ ANSWER
Q.1 Factorize the following by splitting the middle term:
(a) 3x2 + 11x+30 (b) 2 2 x2 +9x+5 2 (c) 4x2 - 13x + 10
Q.2 Factorize the following by Factor theorem:
(a)x3
+9 x2 +23x+15 (b) x3
+6 x2 +11x+6
Q.3 Factorize the following by using a suitable identity:
(a) 4x2 + 12xy + 9y2
(b) 2a5 – 54 a2 (c) 2 2
x
3 + 3 3 y3 (d) x5
- x (e) x6
– y
6 (f)
(a-b)3 + (b-c)3 +(c-a)3 (f) x8
-y
8
(g) 27x3
-135x2
+225x -125
Q.4 Evaluate the following using a suitable identity:
(a) 9983 (b) 10.23
(c) 9.83 (d) 9982
-4 (e) 9992 -1 (f) (-25)
3 + 10 3 +15 3 (g) 10.2 * 9.8
Q.5 If 5 is a zero of x3 + kx2 + 2x +8 find k.
Q.6 If (x-2) is a zero of of x3
-4x2 + kx -8 find k.
Q.7 If ( x-2 ) and (x +3) are factors of x3 + ax2 +bx -30, find a and b.
Q.8 If x+y+ z = 8 and xy +yz+zx = 20 find the value of x3
+y3
+z3
-3xyz.
Q.9 If a+b+c = 9 and a2 +b2
+c2 =35 find the value of a3
+b3
+c3 – 3abc.
Q.10 Find the value of 2.73
-1.63
-1.13 using a suitable identity.
Q.11 Factorize the following by using a suitable identity:
(a) a3 +b3
– 8c3 + 6abc (b) (a/b)3 + (b/c)3 + (c/a)3
-3 (c) 8x3
-27y3 + 125 z3 + 90xyz
Q.12 Find the value of a3 + 8b3 if a + 2b = 10 and ab =15.
Q.13 Find the value of a3 -27b3 if a - 3b =( -6) and ab = (-10)
Q.14 Find the values of m and n if y2
-1 is a factor of y4 + my3 +2y2
-3y +n.
Q.15 (x +2 ) is a factor of mx3 +nx2
+x-6. It leaves the remainder 4 when divided by
(x-2). Find m and n.
Q.16 The polynomials kx3 + 3x2
-3 and 2x3
– 5x +k leave the same remainder when
divided by (x-4). Find k.
Q.17 Factorize : x3 + 1/x3
- 2
Q.18 If ab + bc+ ca = 10 and a2 +b2 +c2 = 44 find a3 +b3 +c3
-3abc.
Q.19 Show that x-2 is a factor p(x) = x3
-12x2
+ 44x-48
Q.20 Factorize x3
-2x2
-5x+6
Q.21 If x+p is a factor of p(x) = x5
-p2
x3
+2x+p+1 find the value of p
Q.22 Factorize: (a) a2 + 1/a2 +2 (b) 3(x+2)2 + 17(x+2) +10 (c)4x2
– 9 y2 + 20x + 25
Answers
Answered by
0
Answer:
0-25
-25
MARK AS braimly kong
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