Find the value of t such that (5x^2 - 6x + 7)(4x^2 +tx + 10) = 20x^4 -9x^3+ 60x^2 - 39x + 70.

Guest Feb 14, 2021

#1**0 **

You want to find all the terms that have x as the variable.

This means: tx * 7 + 10 * -6x = 7tx - 60x, or (7t - 60)x.

Now we look at the coefficient in the question. The coefficient of x is -39.

7t - 60 = -39

7t = 21

t = 3 and bam that's your answer :)

Logarhythm Feb 14, 2021