Question

Which is a factor of x^2-9x+14

Answer 1

Answer:

x =2 or x=7

Step-by-step explanation:

x^2-9x+14= 0

Now splitting the middle term we get,

x^2-7x -2x +14 =0

x(x-7) - 2(x-7) =0

(x-2) (x-7) =0

x-2=0 or x-7 =0

x =2 or x=7

Answer 2

The factors of $x^2-9x+14$ are (x - 7) and (x - 2)

What is an algebraic expression?

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

What is quadratic expression?

• "It is a polynomial expression with degree 2"
• "The general form is $ax^{2} +bx+c$ where a, b, c are real values with $a\neq 0$ "

For given question,

We have been given a quadratic expression $x^2-9x+14$

We need to factorize given quadratic expression.

$\Rightarrow x^2-9x+14\\\\= x^2-7x-2x+14~~~~~~~~...........(-9x=-2x-7x~~and~14=(-9)\times (-2))\\\\=x(x-7)-2(x-7)\\\\=(x-7)(x-2) ~~~~~~~~~~~~............(Seperate~out~common~terms)$

Therefore, the factors of $x^2-9x+14$ are (x - 7) and (x - 2)

Learn more about the quadratic expression here:

https://brainly.com/question/14680354

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