Question

Which expression is a factored form of \large 2x^2-25x+63?

a
(x-9)(2x-7)
b
(x+7)(2x+9)
c
(x-7)(2x-9)
d
(x+9)(2x+7)

Answer 1

The correct factored form of the quadratic equation 2x^2-25x+63 is (x-9)(2x-7), which corresponds to option a.

Step-by-step explanation:

The factored form of the quadratic equation 2x^2-25x+63 is found by looking for two numbers that multiply to (2)(63) or 126 and add up to -25. The pair of numbers that fit this requirement is -9 and -14, because (-9)(-14) = 126 and (-9) + (-14) = -25.

Thus, the factored form of the equation can be written as:

(x - number1)(2x - number2)

Substituting the numbers we found, the factored form is:

(x - 9)(2x - 7)

Therefore, option a is the correct factored form of the quadratic equation.