The Remainder Theorem and Binomial Expansion

SY 2025 - 2026

The Remainder Theorem & Binomial Expansion

Math Response

Evaluate the function for the given value of x using direct substitution without a calculator.

Type answer here

Correct Answer: -7

Deg^°

Rad

Math Response

Evaluate the function for the given value of x using direct substitution without a calculator.

Type answer here

Correct Answer: -90

Deg^°

Rad

Math Response

Use synthetic division to evaluate the function for the indicated value of x.

Type answer here

Correct Answer: -27

Deg^°

Rad

Math Response

Use synthetic division to evaluate the function for the indicated value of x.

Type answer here

Correct Answer: 115

Deg^°

Rad

Draw

Ok Brain Break time...

Draw your favorite animal...

Math Response

Expand the following expression:

(2x + 3)(x - 2)

Type answer here

Correct Answer: 2x^2-x-6

Deg^°

Rad

Math Response

Expand the following expression:

$$\left(x+3\right)^2$$

Type answer here

Correct Answer: x^2+6x+9

Deg^°

Rad

Math Response

Expand the following expression:

$$\left(x+3\right)^3$$

Type answer here

Correct Answer: x^3+9x^2+27x+27

Deg^°

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Open Ended

That last one was a bit more tricky...do you think it would be difficult to expand:

$$\left(x+2\right)^8$$

in the same way you just expanded the last problem?

Math Response

What is the coefficient of the term containing $$x^4$$ when the expression $$\left(x+5\right)^6$$ is expanded?

Type answer here

Correct Answer: 375

Deg^°

Rad

Math Response

Challenge: What is the coefficient of the term containing $$x^3$$ when the expression $$\left(x-3\right)^8$$ is expanded?

Type answer here

Correct Answer: -13608

Deg^°

Rad

Math Response

Use Pascal's triangle to expand $$\left(a+b\right)^n$$ when n = 4 given a and b.

a = 2y and b = -2

Type answer here

Correct Answer: 16y^4-64y^3+96y^2-64y+16

Deg^°

Rad