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Vanessar3143
07.01.2021 •
Mathematics
Use the expression 14x + 28y + 21
(Answer both questions below)
Part A: What is the greatest common factor of the expression?
Part B: Factor the expression
Solved
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Ответ:
A) 7 is the greatest common factor of the expression.
B) factoring the expression
we get ![\mathbf{7(2x+4y+3)}](/tpl/images/1018/4481/7472b.png)
Step-by-step explanation:
We are given the expression:![14x + 28y + 21](/tpl/images/1018/4481/e8a96.png)
Part A: What is the greatest common factor of the expression?
We need to find the greatest common factor of the expression.
The expression is divisible by 7
So, 7 is the greatest common factor of the expression.
Part B: Factor the expression
We need to factor the expression:![14x + 28y + 21](/tpl/images/1018/4481/e8a96.png)
Taking 7 common:
So, factoring the expression
we get ![\mathbf{7(2x+4y+3)}](/tpl/images/1018/4481/7472b.png)
Ответ:
Step-by-step explanation:
A quadratic equation is an equation with at least one squared term. The most common form of a quadratic equation is ax^2 + bx + c, where a, b, and c are coefficients (numbers). The graph of a quadratic equation is a parabola. If a in ax^2 + bx + c is positive, then the graph looks like a U-shape. However, if a is negative, the its graph looks like an upside-down U-shape.
Here, the equation y=x^2-9 is a quadratic equation because it has the term x^2, which qualifies the requirement of having at least one squared term to be considered a quadratic equation. To find the root, simply set y = 0, i.e. set (x^2-9) = 0. This means x^2 = 9, which means x = 3 or x = -3. (these are the roots of y=x^2-9).