Use the polynomials below to find the sum of the given polynomials. Write the type of polynomial. f(x)=x3+2x2−7x−8 g(x)=-4x-7 h(x)=4x2−x−15 k(x)=−x2+7x+4 a)h(x)+k(x) b)g(x)+f(x) c)f(x)+k(x)

Question

Use the polynomials below to find the sum of the given polynomials. Write the type of polynomial.  f(x)=x3+2x2−7x−8  g(x)=-4x-7  h(x)=4x2−x−15  k(x)=−x2+7x+4  a)h(x)+k(x)  b)g(x)+f(x)  c)f(x)+k(x)

Heack1991 · Accepted Answer

Step 1  Given: f(x)=x3+2x2−7x−8,g(x)=−4x−7,h(x)=4x2−x−15,k(x)=−x2+7x+4  For finding (h(x)+k(x)) function, we add both functions  Step 2  So,  h(x)+k(x)=(4x2−x−15)+(−x2+7x+4)  =(4x2−x2)+(−x+7x)+(−15+4)  =3x2+6x−11  =3x2+6x−11...(1)  Now, by equation(1) we can see that (h(x)+k(x)) is quadratic function  Similarly,  g(x)+f(x)=(−4x−7)+(x3+2x2−7x−8)  =x3+2x2+(−4x−7x)+(−7−8)  =x3+2x2−11x−15...(2)  Now, by equation(2) we can see that (g(x)+f(x)) is cubic function  Step 3  Similarly,  f(x)+k(x)=(x3+2x2−7x−8)+(−x2+7x+4)  =x3+(2x2−x2)+(−7x+7x)+(−8+4)  =x3+x2+0−4  =x3+x2−4  Now, by equation(3) we can see that (f(x)+k(x)) is also cubic function  Hence, given functions can be find as above.

Use the polynomials below to find the sum of the

Answered question

Answer & Explanation

New Questions in Algebra II