Question

For algebraic expression 2x4

– 5x3 + 4x. + 7, find (5)

a) Degree of polynomial

b) Number of terms

c) Constant term

d) Coefficient of x

e) Numerical coefficient of -5x3

.

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Answer 1

See explanations below

Explanation:

Given the algebraic expression 2x4– 5x3 + 4x. + 7,

a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4

b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4

c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7

d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.

e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5