Write as a single fraction 11−x+21+x
x+31−x2
3−x(1−x)2
3−x1+x2
3−x(1+x)2
3−x1−x2
Correct answer is E
11−x+21+x
= (1+x)+2(1−x)(1−x)(1+x)
= 1+x+2−2x1−x2
= 3−x1−x2
Construct a quadratic equation whose roots are −12 and 2.
3x2-3x+2=0
3x2+3x-2=0
2x2+3x-2=0
2x2-3x+2=0
2x2-3x-2=0
Correct answer is E
If x = −12 and 2; then
x+12=0 and x−2=0
⟹(x+12)(x−2)=0
x2−2x+12x−1=0
x2−32x−1=0
2x2−3x−2=0
Factorize the expression 2y2 + xy - 3x2
2y (y + x) - 3x2
(2y - x)(2y + x)
(3x - 2y(x - y)
(2y + 3x)(y - x)
(x – y)(2y + 3x)
Correct answer is D
2y2 + xy - 3x2
2y2 + 3xy - 2xy - 3x2
y(2y + 3x) - x(2y + 3x)
= (y - x)(2y + 3x)
Evaluate log1025+log1032−log108
0.2
2
100
409
490
Correct answer is B
log1025+log1032−log108
= log10(25×328)
= log10100
= 2
8/27
1/3
4/9
2/3
-4/3
Correct answer is D
(1681)14
= ((23)4)14
= 23