If the product (3x^2 - 5x + 4)(7 - x) can be written in the form ax^3 + bx^2 + cx + d, where a,b,c, and d are real numbers, then find 8a + 4b + 2c + d.
If the product (3x^2 - 5x + 4)(7 - x) can be written in the form ax^3 + bx^2 + cx + d, where a,b,c, and d are real numbers, then find 8a + 4b + 2c + d.
Hello Guest!
\((3x^2 - 5x + 4)(7 - x)\\ =21x^3-35x+28-3x^3+5x^2-4x\\ \color{blue}=18x^3+5x^2-39x+28\)
a b c d
\(\color{blue}8a + 4b + 2c + d\\ =144+20-78+28\)
\(=114\)
!