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.

qwertyzz Mar 20, 2020

#1**0 **

Original problem: 3(x^{10} - x^{7} + 2x^{3} - x + 7) + 4(x^{3} - 2x^{2} - 5)

Simplifying: 3x^{10} - 3x^{7} + 6x^{3} -3x + 21 + 4x^{3} - 8x^{2} - 15

3x^{10} - 3x^{7} + 10x^{3} - 8x^{2} - 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 6x^{0};

but, now, it isn't always called a coefficient.

What did your teacher say?

geno3141 Mar 20, 2020