wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Predicting Binomial Coefficients

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

Find the coefficient of x3 in (2 + x)5

(a)  

2.

Find the coefficient of x3 in (1 - 5x)4

(a)  

3.

Find the coefficient of x2 in (3 - 2x)4

(a)  

4.

Find the constant term in (3+x)5\left(3+x\right)^5

(a)  

5.

Find the coefficient of the x4x^4 term in (2+x)7\left(2+x\right)^7

(a)  

6.

Find the coefficient of the x3y7x^3y^7 term in (3x+y)10\left(3x+y\right)^{10}

(a)  

7.

Find the coefficient of the x6y3x^6y^3 term in (2xy)9\left(2x-y\right)^9

(a)  

8.

Find the coefficient of the x2y10x^2y^{10} term in (x+y2)7\left(x+y^2\right)^7

(a)  

9.

Find the coefficient of the x6y6x^6y^6 term in (3x2+y2)6\left(3x^2+y^2\right)^6

(a)  

10.

Find the coefficient of the x6y12x^6y^{12} term in (5x2y3)7\left(5x^2-y^3\right)^7

(a)  

11.

Find the coefficient of the x10y9x^{10}y^9 term in (2x25y3)8\left(2x^2-5y^3\right)^8

(a)  

12.

Find the constant term in (2x+1x)8\left(2x+\frac{1}{x}\right)^8

(a)  

13.

Find the constant term in (2x2+1x)9\left(2x^2+\frac{1}{x}\right)^9

(a)  

14.

Find the coefficient of the xx term in (3x5x2)7(3x-\frac{5}{x^2})^7

(a)  

15.

Find the coefficient of the x10x^{10} term in (8xx3)6(8x-x^3)^6

(a)  

16.

Find the coefficient of the x17x^{17} term in (2x33x2)9(2x^3-\frac{3}{x^2})^9

(a)  

17.

Find the constant term in (1x+x3)8\left(\frac{1}{x}+x^3\right)^8

(a)  

18.

Find the constant term in (4x32x2)9\left(4x-\frac{3}{2x^2}\right)^9

(a)  

19.

Find the coefficient of the x5x^5 term in (1+2x)(2+x)7(1+2x)(2+x)^7

(a)  

20.

Find the coefficient of the x8x^8 term in (1+x4)(1+x2)6(1+x^4)(1+x^2)^6

(a)  

21.

Find the coefficient of the x6x^6 term in (x3x2)(3+x)8(x-3x^2)(3+x)^8

(a)  

22.

Find the coefficient of the x12x^{12} term in (x2+2x4)(3x+2x3)8(x^2+2x^4)(3x+2x^3)^8

(a)  

23.

Find the constant term in (1x+x)(2x2+1x)7\left(\frac{1}{x}+x\right)\left(2x^2+\frac{1}{x}\right)^7

(a)  

24.

Find the constant term in (1x3x3)(x2+2x)9\left(\frac{1}{x^3}-x^3\right)\left(x^2+\frac{2}{x}\right)^9

(a)  

25.

Find the constant term in (2x23x3)(x4+3x)7\left(2x^2-\frac{3}{x^3}\right)\left(x^4+\frac{3}{x}\right)^7

(a)