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What is the factorization of x3 plus 2x2-35x?
x3 + 2x2 - 35x = x(x2 + 2x - 35) = x(x + 7)(x - 5)
Describe how the Factor Theorem can be used to determine whether x plus 1 is a factor of x3-2x2-8x-5?
The factor theorem states that for any polynomial function f(x), if f(a) = 0, then (x-a) is a factor of f(x). Let f(x) = x3-2x2-8x-5. If (x+1) is a factor, then f(-1) = 0. (x+1 = x - (-1)) Input x = -1 into f: (-1)3-2(-1)2-8(-1)-5 f(-1) = -1 -2 + 8 - 5 f(-1) = 0. Since f(-1) = 0, (x+1) is a factor of x3-2x2-8x-5. Q.E.D.
How do you factor 9x squared-18?
I hope you mean x3+2x2-9x+18. Treat the equation like two equations: x3+2x2 and 9x+18. Factor out x2 from the first equation, so x2(x+2). Factor out 9 from the second equation, so 9(x+2). Now, the whole equation. x2(x+2)-9(x+2). Factor out (x+2), so (x+2)(x2-9). (x2-9) factors into (x+3)(x-3). So, (x+2)(x+3)(x-3) is the complete factorization. Hope this helps.
How do you find the greatest common factor of variables?
Choose the lowest of the exponents. The GCF of x3 and x5 is x3
How do you factor x3-8x2?
x2(x - 8)
How do you factor. Px x4 - x3 2x2 - 4x - 8?
x^2(x + 2) - 1(x+2) (x+2)(x-1)(x+1)
What is the factor of X3 - 2x2 - 4x plus 8?
x3 - 2x2 - 4x + 8 = (x2 - 4)(x - 2) = (x + 2)(x - 2)(x - 2)
How do you factor x3 plus 2x2 plus 4x plus 8?
(x + 2)(x^2+4)
When x3 plus 3x2-2x plus 7 is divided by x plus 1 what is the remainder?
(x3 + 3x2 - 2x + 7)/(x + 1) = x2 + 2x - 4 + 11/(x + 1)(multiply x + 1 by x2, and subtract the product from the dividend)1. x2(x + 1) = x3 + x22. (x3 + 3x2 - 2x + 7) - (x3 + x2) = x3 + 3x2 - 2x + 7 - x3 - x2 = 2x2 - 2x + 7(multiply x + 1 by 2x, and subtract the product from 2x2 - 2x + 7)1. 2x(x + 1) = 2x2 + 2x2. (2x2 - 2x + 7) - (2x2 + 2x) = 2x2 - 2x + 7 - 2x2 - 2x = -4x + 7(multiply x + 1 by -4, and subtract the product from -4x + 7)1. -4(x + 1) = -4x - 42. -4x + 7 - (-4x - 4) = -4x + 7 + 4x + 4 = 11(remainder)
How do you factor x3 2x2 5x 4?
x3 + 2x2 + 5x + 4 = (x + 1)(x2 + x + 4)
Factor the polynomial x3-2x2 plus x-2?
x3 - 2x2 + x - 2 =(x - 2)(x2 + 1)
What is the factor of x3 plus x2 plus 4x plus 4?
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
How do you factor x3 2x2 x 2 completely?
(x + 2)(x ^2 + 1)
Can you factor x3-64?
(x - 4)(x^2 + 4x + 16)
How do you find the x- coordinates of the turning points of y equals x3-2x2-5x plus 6?
Differentiate the function with respect to x: d/dx (x3 - 2x2 - 5x + 6) = 3x2 - 4x - 5 Set this derivative = 0 and solve. 3x2 - 4x - 5 = 0 implies that x = -0.7863 or 2.1196 (to 4 dp)
X3 plus 6x2 - 4x - 24 factor completely?
x3 + 6x2 - 4x - 24 = (x + 6)(x2 - 4) = (x + 6)(x + 2)(x - 2)
Factor x3 plus 64?
64 is the cube of 4 so: x3 + 64 = (x + 4)(x2 - 4x + 16)
