Question

How do you write y = -4x + 5 in standard form?

Answer 1

Hint: In this particular question, we have to form the equation in standard form ax + by + c = 0. Its highest degree is 1. We are given a linear equation. And there are 3 terms in the given question. The standard form of a polynomial is:
$F(x)={{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+{{a}_{n-2}}{{x}^{n-2}}+.....+{{a}_{1}}x+{{a}_{0}}$
Where ${{a}_{n}},....,{{a}_{0}}$ is a constant

Complete step by step answer:
Now, let’s discuss the question.
Polynomial is an expression which consists of one or more than one term. It is made up of two words: “poly” which means many and “nomial” means terms. It consists of variables, constants, coefficients, exponents and operators. Variables are the unknown terms. Constants are the fixed terms such as numbers. Coefficients are those numerical values which are in product with the variables. Exponents are nothing but the powers. Operators are the symbols which are used to join the terms and perform some operations.
There are mainly three types of polynomials. They are: monomial, binomial and trinomial. Monomial consists only of a single term. Whereas binomial consists of two terms. And the trinomial consists of three terms. The standard form of a polynomial is:
$F(x)={{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+{{a}_{n-2}}{{x}^{n-2}}+.....+{{a}_{1}}x+{{a}_{0}}$
Where ${{a}_{n}},....,{{a}_{0}}$ is a constant
As per question, we are given:
$\Rightarrow $y = - 4x + 5
We need to write this in standard form as ax + by + c = 0. Take all the terms on the left hand side and equate with zero.
$\Rightarrow $y + 4x – 5 = 0
This is the required standard form.

Note:
Students can use the standard form of the polynomials for forming any equation. Always write the equation in the decreasing value of the exponent. Solve the equation until we get all the terms unlike. Take care while dealing with integers.