QUESTION: Two of the zeros of x4 - 12x3 + 59x2 - 138x + 130 are a+ib and a+2ib. Find a and b and hence, factorise the polynomial over the real field. I assume...
QUESTION: Two of the zeros of x4 - 12x3 + 59x2 - 138x + 130 are a+ib and a+2ib. Find a and b and hence, factorise the polynomial over the real field. I assume...
Question: The roots of (x-1)(x+i) = 0 are obviously 1, -i. These are not complex conjugates. How do you explain this? Note that 'i' represents the imaginary number i.
Question: The polynomial Q(x) = x^3 - 6x^2 + ax + b has one zero (1 - i√5), where a and b are real. Find the values of a and b and solve the equation for Q(x) = 0. Note that 'i' represents...
I understand that the above polynomial has no rational roots, but I'm too sure on how to prove this. Originally I just tested P(2), P(1) and P(1/2), and none of them gave the answer of zero - thus...
Given that the above equation has a double root (two equal roots), it is implied that there is a relationship between the coefficients of x^3 and x, as well as the constant (a, b and c). Note...
how do you factor by complete the square?
Helpp meeeeeeeee a^12-4a^2 factor does ths work?
Factor the following polynomials completely: A) 3x^4-12x^2 B) 4x^2-12x+9 C) 6x^2-x-12 D) 3x^3+3x^2y-18xy^2
factor these polynomials completely: A) 8x^3+27 B) 16x^4-2x
factor these polynomials: A) 3x^2-75 B) x^2-3x+5x-15 C) x^2-7x+12
f(x)= x^4 - x^3 - 20x^2 Find all real zeros and determine the multiplicity of each. i did my factors and got 5,4,1,20,10,2 so i did synthetic with 5 and it was a factor. then I did synthetic...
Factoring the trinomial 4y7-12y5+16y3
Explain why px + qx = (p + q)x. I understand how to apply this when factoring, but i don't really understand why the x is not added when the p and q aren't added. Explain...
I'm having trouble figuring out if x^2+7x+3 can be factored using integers because i've written out the p, q, p+q and pq, but i can't seem to come up with an answer that makes sense. Any...
factor the polynomial (p+q)^3-(p-q)^3
A manufacturer of metal washers needs to determine the cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is r, express the area of the washer as...
Presentation 96k
Here you can find the proof of the formula a2+2ab+b2=(a+b)2 and how this formula is applied for factoring quadratics....
1.) 125x^3-8 2.) x^2-9x-22 3.) 2x^2-5x+2 4.) x^3-x^2+5x-5 5.) 2x^3-3x^2+4x-6
Step1: When factoring a trinomial in the form of x^2 + bx + c , you need to find the values of p and q in the factored form (x +- p) (x +-q). The product of p and q is the constant...
(8x^3+6x^2)+(-12x-9) _______( ) + _______( )