Question

Rhea is solving a math puzzle. To find the solution of the puzzle, she must find the product of two numbers. The first number is the sum of 23 and x, and the second number is 18 less than two times the first number. Which of the following functions represents the product of these two numbers?

A.
P(x) = 2x2 + 28x - 414
B.
P(x) = 2x2 + 102x + 1,288
C.
P(x) = 2x2 + 110x + 1,472
D.
P(x) = 2x2 + 74x + 644

Answer 1

I got P(x) = 2x^2 + 28x - 414

A

Explanation:

I hope this helps you!! Have a lovely day

Answer 2

D. 2x² +74x +644

Explanation:

The first number can be written as (x +23).

The second number can be written as 2(x+23)-18 = (2x +28).

The product of these numbers can be found using the distributive property:

P(x) = (x +23)(2x +28) = x(2x +28) +23(2x +28)

= 2x² +28x +46x +644 . . . . . . . already you know the correct answer choice

P(x) = 2x² +74x +644