Consider the polynomial f(x) = 1 - 12x + 3x^2 - 4x^3 + 5x^4 and g(x) = 3 - 2x - 6x^3 + 19x^4. Find c such that the polynomial f(x) + cg(x) has degree 3.
+118609 Consider the polynomial f(x) = 1 - 12x + 3x^2 - 4x^3 + 5x^4 and g(x) = 3 - 2x - 6x^3 + 19x^4. Find c such that the polynomial f(x) + cg(x) has degree 3.
\(f(x) = 1 - 12x + 3x^2 - 4x^3 + 5x^4 \)
\(g(x) = 3 - 2x - 6x^3 + 19x^4\)
Looking just at the x^4 term
\(f(x) + cg(x)=..... 5x^4+c*19x^4\\ f(x) + cg(x)=..... (5+19c)x^4\)
if the x^4 term is to disappear then 5+19c=0 etc
