Understanding Polynomials

The video tutorial explains how to identify the terms, coefficients, and exponents in a polynomial. It begins by defining terms as the components being added in a polynomial, using examples like 3x squared, -8x, and 7. The tutorial then discusses coefficients, which are the numbers multiplying the variable part of each term, emphasizing that coefficients can be negative. Finally, it covers exponents, explaining how to determine the power to which the variable is raised in each term, including constants as terms with an exponent of zero.

What is a term in a polynomial?

• A number that is subtracted

• A constant value

• A variable without a coefficient

• An expression being added

What is the coefficient in the term 3x squared?

• x squared

• 3

• x

• 2

How can you interpret the term -8x in a polynomial?

• As a multiplication of 8x

• As an addition of -8x

• As a subtraction of 8x

• As a division of 8x

What is the third term in the polynomial discussed?

• x to the power of 0

• -8x

• 7

• 3x squared

What is the coefficient of the constant term 7?

• 1

• 0

• x

• 7

What is the exponent in the term 3x squared?

• 3

• 0

• 1

• 2

What is the exponent of x in the term -8x?

• 2

• 1

• 0

• 8

How can the constant 7 be expressed in terms of x?

• 7x

• 7x squared

• 7x to the power of 0

• 7x to the power of 1

What is the exponent of the constant term in the polynomial?

• 3

• 1

• 2

• 0

Which of the following is a correct statement about coefficients?

• They are always positive

• They are the same as exponents

• They are only present in terms with variables

• They multiply the variable part of a term