Answer:
see explanation
Step-by-step explanation:
Given
5x² - 4 - 8x
To find the zeros equate to zero and rearrange into standard form, that is
5x² - 8x - 4 = 0 ← in standard form
To factor the quadratic
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 × - 4 = - 20 and sum = - 8
The factors are - 10 and + 2
Use these factors to split the x- term
5x² - 10x + 2x - 4 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 2(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x + 2) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = -
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The sum of the zeros = -
The product of the zeros =
with a = 5, b = - 8 and c = - 4
The sum = 2 - =
and - = -
=
Thus verified
The product = 2 × - = -
and =
= -
Thus verified
7(x+2)
Let's find the common term in this expression to factor it out. it is 7.
Factoring is the opposite of distributing.
If we distribute, we will get the original expression.
Next:
45-27k
Here, the common term is 9:
9(5-3k)
12ab+7b - the common term is b:
b(12a+7)
y^2-9y.
Here the common term is y:
y(y-9)
8r-32r² the common term here is 8r:
8r(1-4r)
16gh+28gh: the Common Term is 4gh:
4gh(4+7)
21w²-77wx The common term is 7w:
7w(3w-11x)
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