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Fractional Exponents
Poly. Division
Functions: Zeros & End Behavior
Solve Radical Equations
Radicals
100
convert to radical form. x^2/3
(cube root x)^2 or cube root (x^2)
100
This is the remainder when you divide x^3 - 4x^2 + x - 5 by (x + 2).
-31
100
This is the equation of a function if the leading coefficient is +1 and the zeros are -2, 0, and 3.
f(x) = (x + 2)(x)(x - 3)
100
Given (4x+9)^(1/2) =5 Is x=4 a solution?
Yes. (4(4)+9)^(1/2)=5 (25)^(1/2)=5 5=5!
100
Simplify 4 times the square root of (50 times x to the 5th power)
20 times x^2 times the square root of 2x
200
7^(1/4) * 7^ (1/2)
7^(3/4) Common base - add exponents
200
This is the remainder when x^3 + 5x^2 - x + 1 is divided by (x + 2).
15
200
This is the degree and the highest number of local max/min of a function if the leading coefficient is +1 and the zeros are -2, 0, and 3.
degree = 3 # of min/max = 2
200
Solve (2x + 7)^(1/3) = 3.
x = 10 bc. ((2x + 7)^(1/3))^3=3^3; 2x + 7 = 27; 2x = 20; x =10
200
rationalize the denominator sqrt(2/6)
sqrt(3)/3 bc sqrt2*sqrt6 / sqrt6 * sqrt 6; sqrt 12 / 6; 2sqrt3/6; sqrt(3)/3
300
(64y^6)^(1/3)
4y^2
300
This is the quotient when dividing 2x^2 + x - 7 by (x - 5).
2x + 11, Rem 48
300
Describe the degree and the leading coefficient of the notation as x → -∞, f(x) → +∞ and as x → +∞, f(x) → -∞
Odd exponent Negative leading Coefficient
300
Solve (x - 8)^1/2 + 5 = 7
12 bc (x - 8)^1/2 = 2; x - 8 = 4; x = 12
300
sqrt(32x^4) divided by sqrt(2x)
4xsqrt(x) bc sqrt(16x^3); sqrt(16*x^2*x)