Answer:
Factors :- (x - 5) (x + 2)
Values :- x = 5, x = -2
Step-by-step explanation:
= > x^2 - 3x - 10 = 0
= > x^2 - (5 - 2)x - 10 = 0
= > x^2 - 5x + 2x - 10 = 0
= > x (x - 5) + 2 (x - 5) = 0
= > (x + 2) ( x - 5) = 0...factors
= > x = 5, - 2...values
<h2>Hope it helps you!! </h2>
Answer:
option B

Step-by-step explanation:
Given in the question a complex fraction
<h3>Step1</h3>
To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

<h3>Step2</h3>
Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

<h3>Step3</h3>
Simplify the powers of i, specifically remember that i² = –1.

<h3>Step4</h3>

<h3>Step5</h3>
simply

Answer:
SUMMARY:
→ Not a Polynomial
→ A Polynomial
→ A Polynomial
→ Not a Polynomial
→ A Polynomial
→ Not a Polynomial
Step-by-step explanation:
The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form
.
Here:
= non-negative integer
= is a real number (also the the coefficient of the term).
Lets check whether the Algebraic Expression are polynomials or not.
Given the expression

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains
, so it is not a polynomial.
Also it contains the term
which can be written as
, meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression
is not a polynomial.
Given the expression

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.
Given the expression

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!
Given the expression

is not a polynomial because algebraic expression contains a radical in it.
Given the expression

a polynomial with a degree 3. As it does not violate any condition as mentioned above.
Given the expression


Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.
SUMMARY:
→ Not a Polynomial
→ A Polynomial
→ A Polynomial
→ Not a Polynomial
→ A Polynomial
→ Not a Polynomial
Right. Your answer is still no because your x-value needs to be positive.
5(2x - 8) + 15 = -15
-15 -15 subtract 15 from each side
5(2x - 8) = -30
÷5 ÷5 divide both sides by 5
2x - 8 = -6
+8 +8 add 8 to each side
2x=2
÷2 ÷2 divide both sides by 3
x = 1
Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15 Correct! x=1