GATE 9 Math Polynomial Review

FOIL

100

(3x+1)(x-5)

3x² - 14x - 5

200

(6a-5b)²

36a² - 60ab + 25b²

300

(4m+3n)(4m-3n)

16m² - 9n²

400

(8x-3y)(2x+y)

16x² + 2xy - 3y²

500

(x²+7y²)(2x²-5y²)

2x⁴ + 9x²y² - 35y⁴

600

(9a+4)(4a-9)-(6a-5)²

-5a - 61

No Problemo

100

A triangle has a side length of x cm. The other two sides are both (x+3) cm. The perimeter of the triangle is 27cm. Find the value of x. 

x = 7

200

A rectangle has a length = (2x-5) mm, a width = (2x+5) mm, and a perimeter = 25 mm. What is the area of the rectangle in terms of x?

(4x² - 25) mm

300

The dimensions of a window are 3x+10 and 2x +6. What is the area of the window?

6x² + 38x +60

400

Calculate the volume of the rectangular prism whose length is (x-3), width is (2x+1), and height is (2x+1). 

4x³ - 8x² - 11x -3

500

The hypotenuse of a right triangle is (5x+5) cm long and the lengths of the other two sides are (4x+8)cm and (3x-5)cm. Form an equation and solve it. What are the lengths of the three sides?

25cm, 24cm, 7cm.

600

The expression 6x(4-3x) - 5x(x-4) - (9x+2)  can be written in the form ax² + bx + c. The value of ac is _____.

24x - 18x² -5x² +20x - 9x - 2 

-23x² + 35x - 2 : a=-23, b=35, c=-2

(35)(-2) = -70

Random Trivia

100

What metal is Wakanda's most precious resource?

Vibranium

200

This past Sunday, which CFL team won the 109th Grey Cup?

The Toronto Argonauts

300

Georges St Pierre & Amanda Nunes are famous UFC athletes. What does the acronym UFC stand for?

Ultimate Fighting Championship

400

What is the only number that has the same number of letters as its value? 

Four

500

In 1893, this country became the first to give women the right to vote? 

New Zealand

600

Name 3 QEHS caretakers

Darwin, Howard, Dave

Tri multiplying these trinomials

100

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

200

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

300

Multiply the Polynomials:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

400

(3x+5)(2x²-9x+7)

6x³ - 17x² - 24x + 35

500

(2y-3x)(2x+3y+9)

6y²-6x²-27x+18y-5xy

600

8x³y²(6x²+3x²y+4y²)

48x⁵y² + 24x⁵y³ + 32x³y⁴

TED (Terminology, Exponents, Degrees)

100

(x² + x + 4) is an example of a 

Trinomial

200

2x³ + 3x²y + 3y² -8 is an example of a

polynomial 

300

What is the constant term for the polynomial 3x²y² - 2x⁴ + xy⁴ -2

-2

400

What is the degree of the polynomial a³b + 2c^2?

4

500

What is the leading coefficient for the polynomial expression 2x - 4x³ - 7 + 6x²

-4

600

Expand and Simplify (a+3)(a-6)(2a+1). What is the degree of the simplified expression? 

The degree of the simplified expression is 3 - Simplified 2a³ - 5a² - 39a - 18.