Answer :
The standard form of the given equation is -k² + 7k
Quadratic Equation:
A quadratic equation is a quadratic polynomial in variables of type f(x) = ax2 + bx + c = 0, a, b, c, ε R and a ≠ 0. It is the general form of the quadratic equation. 'a' is called the principal coefficient and 'c' is called the absolute term of f(x). The value of x that satisfies a quadratic equation is the root (α, β) of the quadratic equation.
Standard Form of a Number:
A standard form is a way of writing certain mathematical concepts, such as equations, numbers, and formulas, in a form that follows certain rules. Standard forms are used to concisely represent very large or very small numbers. For example, 4.5 billion years is written as 4.5 billion years. As you can see here, writing a large number like 4.5 billion in its numeric form is not only ambiguous and time consuming, it can add or subtract a few zeros when writing in numeric form. There is a nature. In this case, writing the numbers in standard form can be very helpful. For example, 4,500,000,000 = 4.5 × 109 in normal form. You can write not only numbers but also fractions, equations, formulas, polynomials, etc. in standard form.
Now,
Given that:
c = k - 3
b = k² - 6k -3
Now,
C - B = k - 3 - (k² - 6k -3)
= k - 3 - k² +6k + 3
= k - k² + 6k
= -k² + 7k
Learn more about Standard Form:
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