Factor Trinomials Worksheets Grade 9

1. Factor: 27x² + 57x + 28
2. A rectangular garden has an area represented by the expression 2x² + 7x + 6 square meters. The length and width are binomial expressions with integer coefficients. If the length is longer than the width, what is the factored form that represents the dimensions of the garden?
3. A rectangular garden has an area represented by the polynomial expression 2x² + 11x + 12 square meters. If the length and width are both binomial expressions with integer coefficients, what is the factored form of this quadratic expression?

…and 5 more problems

1. A rectangular garden has an area represented by the expression 2x² + 7x + 6 square meters. If the length of the garden is (2x + 3) meters, what expression represents the width of the garden? Use the AC method to factor the quadratic expression.
2. Factor: 15x² + 31x + 10
3. Factor: 2x² + 7x + 3 = ?

…and 6 more problems

1. A rectangular garden has an area represented by the expression 2x² + 11x + 12 square meters. If the length of the garden is 5 meters more than its width, find the dimensions of the garden by factoring the quadratic expression using the AC method.
2. Factor: 14x² + 39x + 10
3. A physics class is designing a projectile motion experiment where the height of a ball thrown upward is modeled by the equation h(t) = -5t² + 18t + 8, where h is height in meters and t is time in seconds. To analyze when the ball hits the ground, they need to factor this quadratic expression using the AC method. What is the factored form of -5t² + 18t + 8?

…and 5 more problems