Question

Choose all the terms In the expression

5x⁴ - 7x³ + x + 2
a) 5
b) 5x⁴
c) −7x³
d) 1
e) x
f) 2

Answer 1

In the expression 5x⁴ - 7x³ + x + 2, the terms are 5x⁴, -7x³, x, and 2. The coefficients 5 and 1 are not separate terms. The correct answer is option (b), (c), (e) and (f).

Step-by-step explanation:

The question involves identifying all the terms in the algebraic expression 5x⁴ - 7x³ + x + 2. A term in algebra is a single mathematical expression, which can be a number, a variable, or numbers and variables multiplied together. The terms of the given expression are:

• 5x⁴: This is a term which includes a coefficient (5) and a variable (x) raised to the fourth power.
• −7x³: This term has a coefficient of -7 and a variable (x) raised to the third power.
• x: Here, the term is simply the variable x, which has an implied coefficient of 1.
• 2: This term is a constant, which means it does not have a variable attached to it.

The other options provided in the question, such as 5 and 1, do not represent individual terms in the given expression.