Understanding and applying the binomial theorem

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Mathematics

9th - 12th Grade

Used 3+ times

Understanding and applying the binomial theorem

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\left(x-4\right)^3.$

$x^3+12x^2+48x-64$

$64-48x+12x^2-x^3$

$x^3+12x^2-16x-4$

$x^3-12x^2+48x-64$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the coefficient of $y^2$ in the expansion of
$\left(y-2\right)^5$

-80

-320

320

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiply the binomial: (x - 2)⁴

x⁵ - 8x⁴ + 24x³ - 32x² + 32

-x⁵ + 8x⁴ - 24x³ + 32x² - 32

x⁵ + 8x⁴ + 24x³ + 32x² + 32

x⁵ - 4x⁴ + 6x³ - 4x² + 1

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Consider the binomial expansion of $\left(2y-5x\right)^6$ . How many terms are there in the expansion?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Expand $\left(x+y^3\right)^4$

$x^4+4x^3y^3+6x^2y^6+4xy^9+y^{12}$

$x^4+x^3y^3+x^2y^6+xy^9+y^{12}$

$6x^4+15x^3y^3+20x^2y^6+15xy^9+6y^{12}$

$x^4+4x^3y^3+4x^2y^6+4xy^9+y^{12}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Describe the signs ( + and - ) in the expanded form of (x + 5)⁴ .

all +

all -

alternating ending in -

alternating ending in +

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the third term in the expansion of $\left(4y-x\right)^4$

$91y^2x^2$

$96y^2x^2$

$-16yx^3$

$95y^2x^2$

10.

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

Find the sum of the coefficients In the binomial expansion of $\left(3-2x\right)^6$ .

(a)

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