Asked by Angela Scamardella on May 10, 2024
Verified
Find h(x) =f(x) +g(x) h ( x ) = f ( x ) + g ( x ) h(x) =f(x) +g(x) where f(x) =8x3−9x2+8f ( x ) = 8 x ^ { 3 } - 9 x ^ { 2 } + 8f(x) =8x3−9x2+8 and g(x) =10−x−x2−9x3g ( x ) = 10 - x - x ^ { 2 } - 9 x ^ { 3 }g(x) =10−x−x2−9x3
A) h(x) =−x3−10x2−x+18h ( x ) = - x ^ { 3 } - 10 x ^ { 2 } - x + 18h(x) =−x3−10x2−x+18
B) h(x) =−x6−8x2−x−2h ( x ) = - x ^ { 6 } - 8 x ^ { 2 } - x - 2h(x) =−x6−8x2−x−2
C) h(x) =17x3−8x2−x−2h ( x ) = 17 x ^ { 3 } - 8 x ^ { 2 } - x - 2h(x) =17x3−8x2−x−2
D) h(x) =−17x3−8x2−x−2h ( x ) = - 17 x ^ { 3 } - 8 x ^ { 2 } - x - 2h(x) =−17x3−8x2−x−2
E) h(x) =−x3−10x2+x+18h ( x ) = - x ^ { 3 } - 10 x ^ { 2 } + x + 18h(x) =−x3−10x2+x+18
Polynomial Functions
Mathematical functions represented by expressions that include terms with variables raised to whole number exponents and coefficients.
- Familiarize oneself with the primary operations - addition, subtraction, multiplication, and division - applied to polynomials.
- Implement operations and simplify expressions in algebra.
Verified Answer
KM
Kealeboga ModubuMay 13, 2024
Final Answer :
A
Explanation :
To find h(x)=f(x)+g(x)h(x) = f(x) + g(x)h(x)=f(x)+g(x) , add the corresponding coefficients of the same degree terms from f(x)f(x)f(x) and g(x)g(x)g(x) : 8x3−9x2+88x^3 - 9x^2 + 88x3−9x2+8 and −9x3−x2−x+10-9x^3 - x^2 - x + 10−9x3−x2−x+10 . The result is (−x3)−10x2−x+18(-x^3) - 10x^2 - x + 18(−x3)−10x2−x+18 .
Learning Objectives
- Familiarize oneself with the primary operations - addition, subtraction, multiplication, and division - applied to polynomials.
- Implement operations and simplify expressions in algebra.