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Lana71 [14]
2 years ago
9

Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.

Mathematics
1 answer:
scoray [572]2 years ago
4 0

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

12x^3 + 19x^2 -27x -40

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