Question

The factorization of x2 - 9x + 20 is
Thank you
​

Answer 1

Answer:

The factorization of x^2 - 9x + 20 is (x - 4) ( x - 5).

Step-by-step explanation:

If we want to factorize a given quadratic equation then find two factors of the last term whose multiplication is last term and sum is the middle term.

Here multiplication is 20 and sum is -9. So, factors are - 4,- 5

$x^2 - 9x + 20\\= x^2 - 4x - 5x + 20\\= x ( x- 4) - 5 ( x - 4)\\= (x - 4) ( x - 5)$

So, $x^2 - 9x + 20= (x - 4) ( x - 5)$

Answer 2

• We have to evaluate the above expression by using the given data.

            Given data:- $x^{2} -9x+20.$

            To find:- Value of the expression.

            Solution:-

• We know that factorization means reducing any algebraic or quadratic equation.

• Steps to solve quadratic equations,

• Step 1: Rearrange the given quadratic so that is it equal to zero.

• Step 2: Factorise the quadratic.

• Step 3: Form two linear equations.

• Step 4: Solve the equations to find the roots of the equation.

        Therefore,

               $=>x^{2} -9x+20\\=>x^{2}-4 x-5 x+20 \\=>x(x-4)-5(x-4)\\=>(x-5)(x-4)\end{array}$

       Hence we will get $x^{2} -9x+20=(x-5)(x-4).$