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What are the zeros of the polynomial function F(x) = x2 -5x-6?

O A. x= -1 and x = 6
O B. x= -6 and x = 1
O C. x = 2 and x = 3
O D. x= -3 and x = -2

User VextoR
by
7.3k points

1 Answer

7 votes

Answer:

C

Explanation:

Remark

The zeros are found either by using the quadratic equation or by factoring and equating the factors to 0. I think factoring is the best and simplest way.

Solution

x^2 - 5x + 6 factors into

(x - 3)(x - 2)

-3 and - 2 must multiply to 6 (they do) -3 * -2 = 6

-3 and -2 must also add to - 5. They do. -3 - 2 = - 5

So the factors are correct.

x - 3 = 0

x - 3 + 3 = 0 + 3

x = 3

x-2 = 0

x -2 + 2 = 0 + 2

x = 2

Answer

x = 2 and x = 3

The answer is C

User Chris Steele
by
6.8k points