What is the complete factorization of x^2+4x-45?

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

5 0

Answer:(x-5)(x+9)

Step-by-step explanation:

You want two numbers that can give you -45 in multiplication and two numbers that can add to 4 and that is -5 and 9.

Otrada [13]2 years ago

4 0

Answer: (x - 5)(x + 9)

If you have to solve, x=5 or x= -9

Step-by-step explanation: You need two numbers that multiply to be 45.

(could be 3 × 15 or 5 × 9) . The difference between the two factors needs to be 4, the coefficient of the middle term.

9 - 5 =4, so use those. -45 has a negative sign, so one of the factors must be + and the other - Since the 4 has the + sign, the larger factor has to be + so the difference will be positive.

So (x -5)(x + 9) are your factors. You can FOIL to be sure

x × x += x² . x × 9 = 9x . -5 × x = -5x . -5 × 9 = -45 .

Combine the x terms: 9x -5x = +4x

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Step-by-step explanation:

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2 years ago

Write an equation of a line that is parallel to y=2x-5 that passes through the point (2,6).

inessss [21]

Answer: Parallel lines have the same slope

y = 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

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Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept