Begin by noticing that your factor pairs will have the form ( __x + __)(__x - __). Remember that the two ends are products, and the middle number is a sum. Find the factor pairs for each end number. 4 3 1 and 4 1 and 3 2 and 2 Since 3 only has one option, you know either: ( __x + 1)(__x - 3) or (__x - 1)(__x + 3) then start testing the factor pairs of 4. I like to start with the closest together pair - 2 and 2 here. Do 2 x 1 and 2 x 3 subtract to give you 4? Yes! 6 - 2 = 4! So I want the 6 positive and the 2 negative. This gives me (2x + 3)(2x - 1). Check your answer if you are unsure.
Take out the common factor, which in this case is 4x2. Divide each of the terms by this common factor. 12x2 - 4x3 = 4x2(3+x)
4x3+10x2+2x+5= (2x+5)(2x2+1)
Start with 4 and keep multiplying it. Maybe start with 4x1 then 4x2 then 4x3 etc. You have 4,8,12, etc.
Answer this question…A. x4 + 2x3 + 9x2 + 4 B. x4 + 4x3 + 9x2 + 4 C. x4 + 2x3 + 9x2 + 4x + 4 D. x4 + 2x3 + 9x2 - 4x + 4
4x3=12 250-12=238 238/50=4.76
12x6 - 16x3 - 15x3 + 20 = 4x3(3x3 - 4) - 5(3x3 - 4) = (3x3 - 4)(4x3 - 5)
Take out the common factor, which in this case is 4x2. Divide each of the terms by this common factor. 12x2 - 4x3 = 4x2(3+x)
4x2(4x3 + 3)
(4x3)+2 = 14
Interpreting this equation as y=4x3+4x2 This is not a quadratic equation. By definition, a quadratic equation is a polynomial equation of order two, meaning it is composed only of coefficients multiplied by x's raised to any exponential power of maximum 2. The most that any of the exponents in the equation can be is 2. Since this equation has a term of 4x3, it is not quadratic since this term has an exponent of 3. This means that the equation is of degree three. This equation is a cubic equation.
4x3+12x2+3x+9
4x3 - 19x2 - 5x =x (4x2 - 19x - 5) =x (4x + 1) (x - 5)
4x3+10x2+2x+5= (2x+5)(2x2+1)
12x
Start with 4 and keep multiplying it. Maybe start with 4x1 then 4x2 then 4x3 etc. You have 4,8,12, etc.
Answer this question…A. x4 + 2x3 + 9x2 + 4 B. x4 + 4x3 + 9x2 + 4 C. x4 + 2x3 + 9x2 + 4x + 4 D. x4 + 2x3 + 9x2 - 4x + 4
4x3=12 250-12=238 238/50=4.76