If (x−3) is a factor of 2x3+3x2−17x−30, find the remaining factors.
(2x - 5)(x - 2)
(2x - 5)(x + 2)
(2x + 5)(x - 2)
(2x + 5)(x + 2)
Correct answer is D
Divide 2x3+3x2−17x−30 by (x−3). You get 2x2+9x+10.
Factorizing, we have 2x2+9x+10=2x2+4x+5x+10
2x(x+2)+5(x+2)
= (2x+5)(x+2)
A binary operation ♦ is defined on the set R, of real numbers by a♦b=ab4. Find the value of √2♦√6
√3
3√24
√32
√22
Correct answer is C
a♦b=ab4
√2♦√6=√2×√64=√124
= 2√34
= √32
-4
−14
18
4
Correct answer is D
(−164)−23=−6423
(−43)23=−42=16
\therefore \sqrt{(\frac{-1}{64})^{\frac{-2}{3}} = \sqrt{16} = 4
Solve the inequality 2x2+5x−3≥0.
x≤−3 or x≥12
x<−12 or x≥3
−3≤x≤12
−12≤x≤3
Correct answer is A
No explanation has been provided for this answer.
P=x:1≤x≤6 and Q=x:2<x<9 where x∈R, find P∩Q.
x:2≤x≤6
x:2≤x<6
x:2<x<6
x:2<x≤6
Correct answer is D
No explanation has been provided for this answer.