Question

ASAP! what is 5x^2-18x+9????

Answer 1

Answer: (5x-3)(x-3) For Factorization and x=3/5, 3 for Quadratic Equation.

Step-by-step explanation:

Factorization

$5x^2-18x+9$

Two numbers multiply to 5 are 5 and 1

Two numbers multiply to 9 are (1 and 9) and (3 and 3)

$(5x-3)(x-3)$ You can try use 1 and 9 but it's wrong so I'm skipping it.

(5x)(x) = 5x^2 Correct

[(5x)(-3)]+[(-3)(x)] = -15x-3x = -18x Correct

(-3)(-3) = 9 Correct

The answer for Factorization is (5x-3)(x-3)

Quadratic Equation

Just same, Factoring and you get $(5x-3)(x-3)=0$ then find the value of x

$x=\frac{3}{5}, 3$ for the answer.

Answer 2

Answer:

(x - 3)(5x - 3)

Step-by-step explanation:

Assuming you require the expression to be factorised.

Given

5x² - 18x + 9

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 9 = 45 and sum = - 18

The factors are - 15 and - 3

Use these factors to split the x- term

5x² - 15x - 3x + 9 ( factor the first/second and third/fourth terms )

= 5x(x - 3) - 3(x - 3) ← factor out (x - 3) from each term

= (x - 3)(5x - 3) ← in factored form