+980 Find the sum of the coefficients in the polynomial \(3(x^{10} - x^7 + 2x^3 - x + 7) + 4(x^3 - 2x^2 - 5)\) when it is simplified.
+23252 Original problem: 3(x10 - x7 + 2x3 - x + 7) + 4(x3 - 2x2 - 5)
Simplifying: 3x10 - 3x7 + 6x3 -3x + 21 + 4x3 - 8x2 - 15
3x10 - 3x7 + 10x3 - 8x2 - 3x + 6
The coefficients are 3, -3, 10, -8, -3 and, maybe 6.
At one time the constant term (the 6) was called a coefficient because it could be written as 6x0;
but, now, it isn't always called a coefficient.
What did your teacher say?
