What is the product of (2x – 4) and (5x^2-2x+6)? Write your answer in standard form. Show your work.

10x^3-24x^2+20x-24

Step-by-step explanation:

(2x-4)(5x^2-2x+6)

10x^3-4x^2+12x-20x^2+8x-24

10x^3-24x^2+20x-24

The product is 10x³-24x²+20x-24.

Step-by-step explanation:

(2x-4)•(5x²-2x+6)

Use the Distributive property.

2x(5x²-2x+6)-4(5x²-2x+6)

Multiply.

10x³-4x²+12x-20x²+8x-24

Simplify.

10x³-24x²+20x-24

Note:

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x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a