Long division: (2x² - 5x - 3) ÷ (x - 3)
1 answer:
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Answer:
The value which is needed to be added to transform the quadratic expression as a perfect square trinomial is 16.
Step-by-step explanation:
A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.
The identity for is given as follows:
<u>Step 1: </u>
Break down the given polynomial .
<u>Step 2: </u>
Now compare the polynomial with the above indentity.
On comparing it is observed that the value of a is x and the value of b is 4.
<u>Step 3: </u>
In order to make the polynomial a perfect square, add
to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.
<u>Step 4:</u>
Now as per the identity the polynomial
is written as follows:
.
Therefore, the perfect square for the given polynomial is which is created by adding 16 to the given expression.
Learn more:
- A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667
- A problem to obtain the binomial and trinomial brainly.com/question/1394854
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Quadratic expression
Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.