STAAR EOC Algebra I Factoring — practice questions
67 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice STAAR EOC Algebra I Factoring in the app →In algebra, the greatest common factor (GCF) of two or more expressions is defined as what?Using the method of factoring each number into primes, what is the greatest common factor of 54 and 36?What is the greatest common factor of 27x^3 and 18x^4?What is the greatest common factor of 4x^2y and 6xy^3?What is the greatest common factor of 21x^3, 9x^2, and 15x?What is the completely factored form of 4x + 12?What is the completely factored form of 5a + 5?What is the completely factored form of 12x - 60?What is the completely factored form of 4y^2 + 24y + 28?What is the completely factored form of 21x^3 - 9x^2 + 15x?When factoring -8y - 24, why must the GCF itself be negative?What is the completely factored form of -6a^2 + 36a?According to the four-step method for factoring the GCF from a polynomial, what is the very first step?Factor by grouping: xy + 3y + 2x + 6.Factor by grouping: x^2 + 3x - 2x - 6.The idea that some polynomials cannot be factored at all is compared to which fact about numbers?Factor: x^2 + 7x + 12.Factor: u^2 + 11u + 24.Factor: y^2 + 17y + 60.When factoring x^2 + bx + c and c is positive, what must be true about the signs of m and n in (x+m)(x+n)?Factor: t^2 - 11t + 28.Factor: z^2 + 4z - 5.Factor: z^2 - 4z - 5.Factor: q^2 - 2q - 15.Do -3 and -5 correctly factor the trinomial y^2 - 6y + 15 into (y-3)(y-5)?Factor: 2x + x^2 - 48.Factor: x^2 + 12xy + 36y^2.Factor: r^2 - 8rs - 9s^2.When factoring x^2 + bx + c and c is negative, what must be true about the signs of m and n in (x+m)(x+n)?When m and n have opposite signs while factoring x^2 + bx + c, which one is positive?In the trinomial x^2 + 5x + 6, where does the first term x^2 come from when the trinomial is written as a prodWhen factoring a trinomial like x^2 + 5x + 6, why does listing every factor pair of the constant term alongsidAfter factoring a trinomial into two binomials, what is the final step used to confirm the answer is correct?According to the preliminary strategy for factoring, what should you always ask first before choosing a methodUsing the preliminary factoring strategy, what is the correct first move on 6y^2 - 72?Using the preliminary factoring strategy, which method applies to r^2 - 10r - 24?Using the preliminary factoring strategy, which method applies to p^2 + 5p + pq + 5q?Factor completely: 2n^2 - 8n - 42.Factor completely: 4u^3 + 16u^2 - 20u.Using trial and error, factor: 3x^2 + 5x + 2.Using trial and error, factor: 6b^2 - 13b + 5.Using trial and error, factor: 14x^2 - 47x - 7.Using the ac method, factor: 18n^2 - 37n + 15.Factor: 2y^2 + 11y + 12.Factor: 3u^2 + 8u + 5.When factoring 2x^2 + 6x + 5 using the ac method, what happens after listing the factor pairs of 10?Factor completely: 10y^2 - 55y + 70.After factoring out the GCF from 5k^2 - 15k - 50, why does the remaining trinomial become easier to factor?The height of a toy rocket t seconds after launch is modeled by -16t^2 + 80t + 96. What is its completely factAccording to the Binomial Squares Pattern, what does (a+b)^2 expand to?To recognize that a trinomial fits the Perfect Square Trinomials Pattern, which three checks must all pass?Factor: 9x^2 + 12x + 4.Factor: 81y^2 - 72y + 16.Factor: 36x^2 + 84xy + 49y^2.Does 9x^2 + 50x + 25 fit the Perfect Square Trinomials Pattern?According to the Difference of Squares Pattern, how does a^2-b^2 factor?Factor: x^2 - 4.Factor: 64y^2 - 1.Factor: 121x^2 - 49y^2.Factor: 100 - h^2.What is the completely factored form of x^4 - y^4?What happens when you try to factor a sum of squares like a^2 + b^2?Factor completely: 6x^2 + 96.Factor completely: 8x^2y - 98y.Factor completely: 36x^2y - 48xy + 16y.According to the Sum and Difference of Cubes Pattern, how does a^3+b^3 factor?Factor: x^3 + 64.