Answer:
x(x - 5)(x - 7)
Step-by-step explanation:
Given
x³ - 12x² + 35x ← factor out common factor of x from each term
= x(x² - 12x + 35)
To factor the quadratic
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
The factors are - 5 and - 7, since
- 5 × - 7 = 35 and - 5 - 7 = - 12, thus
x² - 12x + 35 = (x - 5)(x - 7) and
x³ - 12x² + 35x = x(x - 5)(x - 7) ← in factored form
Answer:
sorry i dont know but this is for a challenge
Step-by-step explanation:
The answe is 103.375, because when you divide 827 by 8, you get the answer of 103.375. To be sure, you may also type it in a calculator, and you'll noticed you'll get the same answer.
The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
Learn more about Quadratic Equation from:
brainly.com/question/17177510
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Answer:
Step-by-step explanation:
Hence, the surface area of a triangular pyramid is 140 square units.
