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

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 .

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

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

Let , then the required linear binomial is .

Therefore, a quadratic monomial with a leading coefficient of 6 is .

A linear binomial with a leading coefficient of 2 is .

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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step-by-step explanation: