What is the coefficient of x^2 when -5x^3 - 5x^2 - 7x + 1 is multiplied by -x^2 + 6x + 1 and the like terms are combined?

Guest Feb 16, 2021

#1**0 **

(-5x^{3} - 5x^{2} - 7x + 1)(-x^{2} + 6x + 1)

To find the coefficient of x^{2}, we can just multiply the terms that would have x^{2}.

(-5x^{2})(1) + (-7x)(6x) + (1)(-x^{2})

= -5x^{2} - 42x^{2} - x^{2}

= -48x^{2}

Which means your coefficient is -48, which is also your answer :)

Logarhythm Feb 17, 2021