Factor completely 4x2 + 25x + 6. (1 point) (4x + 1)(x + 6) (4x + 6)(x + 1) (2x + 3)(2x + 2) (2x + 6)(2x + 1)

(4x +1)(x +6)

Step-by-step explanation:

The other answer choices have the correct first and last term of the given trinomial, but the x-term is incorrect.

(4x +1)(x +6) = 4x² +25x +6 . . . . . correct choice

(4x +6)(x +1) = 4x² +10x +6

(2x +3)(2x +2) = 4x² +10x +6

(2x +6)(2x +1) = 4x² +14x +6

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0