what is the factored form of the polynomial?\n$x^{2}+9x + 20$\n$(x - 4)(x - 5)$\n$(x - 2)(x - 10)$\n$(x +…

what is the factored form of the polynomial?\n$x^{2}+9x + 20$\n$(x - 4)(x - 5)$\n$(x - 2)(x - 10)$\n$(x + 4)(x + 5)$\n$(x + 2)(x + 10)$

what is the factored form of the polynomial?\n$x^{2}+9x + 20$\n$(x - 4)(x - 5)$\n$(x - 2)(x - 10)$\n$(x + 4)(x + 5)$\n$(x + 2)(x + 10)$

Answer

Explanation:

Step1: Find two numbers

We need two numbers that multiply to (20) (the constant term) and add up to (9) (the coefficient of (x)). The numbers are (4) and (5) since (4\times5 = 20) and (4 + 5=9).

Step2: Write the factored form

For a quadratic polynomial (ax^{2}+bx + c) (here (a = 1), (b=9), (c = 20)), the factored - form is ((x + m)(x + n)) where (m) and (n) are the two numbers. So (x^{2}+9x + 20=(x + 4)(x + 5)).

Answer:

C. ((x + 4)(x + 5))