A quadratic monomial with a leading coefficient of 6 A linear binomial with a leading coefficient of 2

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Question

A quadratic monomial with a leading coefficient of 6

A linear binomial with a leading coefficient of 2

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Mathematics Phúc Điền 3 years 2021-09-05T16:36:18+00:00 2021-09-05T16:36:18+00:00 1 Answers 9 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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sori · Answer 1 · 2021-09-05T16:37:40+00:00

Given:

A quadratic monomial with a leading coefficient of 6.

A linear binomial with a leading coefficient of 2.

To find:

The mathematical terms for the given statements.

Solution:

Monomial: The expression with single term.

Binomial: The expression with two terms.

Quadratic: Highest power of the variable is 2.

Linear: Highest power of the variable is 1.

Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.

The first statement is “A quadratic monomial with a leading coefficient of 6”.

Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is $6x^2$ .

The second statement is “A linear binomial with a leading coefficient of 2”.

Linear binomial means $ax+b$ , where a and b are real values. The leading coefficient is 2. So, $a=2$ .

Let $b=1$ , then the required linear binomial is $2x+1$ .

Therefore, a quadratic monomial with a leading coefficient of 6 is $6x^2$ .

A linear binomial with a leading coefficient of 2 is $2x+1$ .