snowystar965
Answered

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pls help me!!
Will give brainliest to the first person who answers correctly (if there are 2 answers)

1. Let f(x) = [tex]x^{4} -3x^{2} +2[/tex] and g(x) = [tex]2x^{4} -6x^2+2x-1[/tex]. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b · g(x)?

2. Suppose f is a polynomial such that f(0) = 47, f(1) = 32, f(2) = -13, and f(3)=16. What is the sum of the coefficients of f?

Sagot :

KyanLin

Answer:

1. 1

2.32

Step-by-step explanation:

1. If b=-1/2, then both [tex]x^{4}[/tex] and [tex]x^{2}[/tex] will be cancel out, leave the x alone. The degree of a single x is 1.

2. Let the polynomial be [tex]ax^{p} +bx^{q} +cx^{r}+....+nx+m[/tex]. If x=1, then the whole thing can be seen as a+b+c+...+n+m, which is exactly the sum of the coefficients of f, which is 32.

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