15. Which of the following trinomials has factors (3a-2b)and (2a-b)? A. 6a2-7ab+2b2 C. 6a2-7ab-262 B. 6a2+7ab-2b2 D 6a2 +7ab+2b2 16. The rectangle has an area of 2x2+8x+8. If the length is represented by 2x+4, find a binomial that represents the width of the rectangle..-5 A.x-2 C.-x-2 B.x+2 D.-x+2 17. If the area of the square is 4x2 -4x+1,what is the measure of its side? A.-2x+1 C. .-2x-1 B.2x-1 D.4x-2 18. The product of two consecutive integers is 90. Find the integers. A.-5 and -4 or 4 and 5 C.-13 and -12 or 12 and 12 B. -10 and -9 or 9 and 10 D.-18 and -17 or 17 and 18 19. A rectangular pond has a length of 4m more than twice its width Solve for the length and the width if the area of the said pond is 96m². A.l=12m, w=4m C.1=24m, W-2m B.l=16m, w=6m D.l=16m ,w=3m 20. The sum of a number and its square is 420 What are the numbers that satisfy this condition? A.20 or 25 C.12 or 13 B. 20 or -21 D.10 or -11
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Answer:
15. A.
16. B.
17. B.
18. B.
19. B.
20. B.
Step-by-step Solution:
15. =(3a-2b)(2a-b)
= 6a²-3ab-4ab+2b²
= 6a² - 7ab + 2b²
16. =(2x²+8x+8)/(2x+4)
= (2x+4)(x+2)/(2x+4)
Cancel 2x+4
= x+2
17. = (4x²-4x+1)
=(2x-1)²
18. x(x+1) = 90
x²+x=90
x²+x-90=0
(x+10)(x-9)=0
x= -10, 9
x+1 = -9, 10
Therefore, -10 and -9 or 9 and 10
19. L= 4 + 2W
A=LW
96 = (4+2W)(W)
2W²+4W-96=0
W²+2W-48=0
(W+8)(W-6)=0
W=6
L= 4+2(6) = 4+12 = 16
Therefore, L=16m , W=6m
20. x+x²=420
x²+x-420=0
(x+21)(x-20)=0
x= -21 or x=20
Answer:
thx po sa points
Step-by-step explanation: