Algebra Answers

Sketch the graph of a cubic function y= x(x-3)²

Determine the x-intercepts of a cubic function y= x² - 2x²- 5x + 6

(x+2) is a factor of the cubic function f(x) = x³ + 2x²-3x +1. Use the reminder theorem to completely factorise the polynomial.

A cylinder has a radius of 5 x + 3 and a height of 4 x + 2. Which polynomial in standard form best describes the total volume of the cylinder?

POLYNOMIALS

FACTOR=

x³+x²-4x-4

factor completely

1. 400-25y²
2. x³+x²+x+1
3. x⁶-7x³-8
4. 16m²-56mn+49n²
5. (x²+1)^-1/2(x-7)²(x²+1)^1/2(x-7)

simplify the following

1. 3²3⁴3^-5
2. (7⁰/7²)^-1
3. (2x³y⁴/xy⁷)²
4. (-2x²y³)³
5. (81/100)^-3/2
6. (-8)^2/3
7. (x^-1-y^-1)/(x-y)^-1

solve for x in the following equations

1. 4^x-2 = 3^x+4
2. 9^x-3^x-8=0

write an equation for each line. a. slope = 7 over 2 and y-intercept =9

b. m- -3 b= 3 c. m=0 b= -3 d. m= 7 and b= 0

(p+q)²-2(p+q)+1