+130511 In essence, we need to multiply the "9" on the x^4 term in the second expression by c such that, when this product is added to 5 on the x^4 term in the first expression, we get 0....therefore....
9c + 5 = 0 subtract 5 from both sides
9c = -5 divide both sides by 9
c = -5 / 9
+130511 In essence, we need to multiply the "9" on the x^4 term in the second expression by c such that, when this product is added to 5 on the x^4 term in the first expression, we get 0....therefore....
9c + 5 = 0 subtract 5 from both sides
9c = -5 divide both sides by 9
c = -5 / 9
![Consider the polynomials \[f(x)=1-12x+3x^2-4x^3+5x^4\] and \[g(x)=3-2x-6x^3+9x^4.\] Find $c$ such that the polynomial $f(x)+cg(x)$ has degree 3.](/api/ssl-img-proxy?src=https%3A%2F%2Fdata.artofproblemsolving.com%2Faops20%2Flatex%2Fimages%2F3bf70d4c9e128521644eca0b5eaae199c9601d42.png)
