Find the constant t such that [(5x^2 - 6x + 7)(4x^2 +tx + 10) = 20x^4 -54x^3 +114x^2 -102x +70.]

Thanks!

AnonymousConfusedGuy
Nov 29, 2017

#1**0 **

Solve for t:

(10 + t x + 4 x^2) (5 x^2 - 6 x + 7) = 20 x^4 - 54 x^3 + 114 x^2 - 102 x + 70

Divide both sides by 5 x^2 - 6 x + 7:

10 + t x + 4 x^2 = (20 x^4 - 54 x^3 + 114 x^2 - 102 x + 70)/(5 x^2 - 6 x + 7)

Subtract 4 x^2 + 10 from both sides:

t x = -6 x

Divide both sides by x:

**t = -6**

Guest Nov 29, 2017