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# 20x+11x3=0

i need some homework help with factoring having with to do algebra they include

x^2-5x-54=0

x^2-3x-4=6

5x^2+16x+3=0

7x^2+37x+10-0

3x^2+5x-2=0

what exactly is your question Rachel?  Do you need help factoring those functions?

### 2 Answers by Expert Tutors

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
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It's hard, some times, to see the rational roots of the quadratic polynomial, especially if roots are irrational or complex numbers. There are formulas which can help to factorize trinomials.
ax2 + bx + c = a(x - x1)(x - x2) ; were x1,2 = (-b ± √D)/2a
are roots of the equation
ax2 + bx + c = 0 and D = b2 - 4ac
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1. x2 - 5x - 54 = 0 does not have rational roots.
2. x2 - 3x - 4 = 6 ----> x2 - 3x - 10 = 0 ---> (-10) = (-5) · 2 ; (- 3) = -5+2
(x - 5)(x + 2) = 0 ---> x1 = 5 , x2 = -2
3. 5x2 + 16x +3 = 0 ; D = 162 - 4 · 5 · 3 = 256 - 60 = 196;
x1,2 = (-16 ± √196)/(2 · 5) = (-16 ± 14)/10 ;
x1 = -2/10 = -1/5
x2 = -30/10 = -3
5(x + 1/5)(x + 3) = (5x +1)(x + 3) = 0
4. 7x2 + 37 + 10 = 0 ; D = 372 - 4*7*10 = 1369 - 280 = 1069
x1,2 = (-37 ± √1069)/14 ; x1 = (-37 - 33)/14 = -5
x2 = (-37 + 33)/14 = -2/7
7(x + 2/7)(x + 5) = (7x + 2)(x + 5) = 0
5. 3x2 + 5x - 2 = 0 ; (3x - 1)(x + 2) = 0 ---> x1 = -2 and x2 = 1/3

Jon G. | Patient knowledgeable STEM educator/former healthcare practitionerPatient knowledgeable STEM educator/form...
4.9 4.9 (7 lesson ratings) (7)
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Rachel..does your teacher want you to factor these trinomials into bionomials?

example   x2 - 6x + 5   =  ( x - 5)(x - 1)

This this Rachel?