Radicals/Polynomials
Simplify the expression.
(10a3 − 6a2 + 11) + (a3 − 6a2) + 2
11a3 + 0a2 + 9
9a3 + 13
11a3 + 36a2 + 9
11a3− 12a2 + 13
D
What are the exact solutions to the equation
x2 - 15 = -56
x=7 and x=8
Which is the value of the expression −2√12(−5√96) that has an exact quantity using a single radical?
A 1920√2
B 240√2
C 180√2
D −42√12
B
Write a quadratic function, in standard form, given the vertex at (2, −3) and that passes through the parabola at the point (0,1).
y= x2 -4x+1
Simplify the expression 5√72 + 3√18.
A 39√2
B 20√2
C 17√2
D 5√2
A
Which quadratic function represents a parabola with roots of 6 and −4, and passes through the point (2, 4)?
y=-1/6(x-6)(x+4)
Find the difference. (2g2 + 3g − 8) − (5g + 1)
A 2g2 − 2g − 9
B 2g2 + 2g − 7
C −3g2 + 3g − 9
D 2g2 + 8g − 7
A
Mr. Cornell’s physics class made a catapult to shoot watermelons. A watermelon starting launched was feet above the ground and reached a maximum height of 60.5 feet after 3.5 seconds.
Which of the following equations can represent the height of the watermelon in feet, for x seconds?
A. 0=-2(x+3.5)2+60.5
B. 0=-2(x-3.5)2 +60.5
C. 0=0.5(x-60.5)2+36
D. 0=-0.5(x-60.5)2+36
B
Which polynomial is equivalent to the following expression? 5y(y4 + 6y2 − 11)
A 5y5 + 30y3 − 11
B 5y4 + 30y2 − 55y
C 5y5 + 30y3 − 55y
D y4 + 6y2 + 5y − 11
A height for a popular amusement park ride in Ohio is defined by the expression −16s2 + 64s − 60, where s is the time in seconds. Which of the following is an equivalent expression that reveals when the height of the ride is zero?
A −16(s − 2)2
B (2s − 5)(2s − 3)
C −4(s − 5)(s − 10)
D −4(2s − 5)(2s − 3)
D