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Questions and Answers
What is the first step in the general procedure for factorising a trinomial?
What is the first step in the general procedure for factorising a trinomial?
- Identify any common factors (correct)
- Write down two brackets with an x in each bracket
- List the coefficients of the terms
- Expand the pairs to find the matching term
Which identity represents the difference of two squares?
Which identity represents the difference of two squares?
- x^2 - 2xy + y^2 = (x - y)^2
- x^2 - y^2 = (x - y)(x + y)
- a^2 - b^2 = (a + b)(a - b) (correct)
- x^2 + y^2 = (x + y)(x - y)
When factorising by grouping in pairs, what is required?
When factorising by grouping in pairs, what is required?
- Only use pairs of coefficients
- Extract the smallest term as the factor
- Group terms based on common factors (correct)
- Identify two distinct prime factors
Which of these expressions can be factorised using the sum of two cubes identity?
Which of these expressions can be factorised using the sum of two cubes identity?
For the quadratic trinomial ax^2 + bx + c, what is needed to continue the factorisation process after setting up initial brackets?
For the quadratic trinomial ax^2 + bx + c, what is needed to continue the factorisation process after setting up initial brackets?
What are the factors of the expression x^3 + y^3?
What are the factors of the expression x^3 + y^3?
What is the result of factorising the expression using the difference of two squares identity for the expression $x^2 - 9$?
What is the result of factorising the expression using the difference of two squares identity for the expression $x^2 - 9$?
Which factorisation process allows for extracting a common factor from all terms in the expression?
Which factorisation process allows for extracting a common factor from all terms in the expression?
What is the correct factorisation of the quadratic trinomial $2x^2 + 7x + 3$?
What is the correct factorisation of the quadratic trinomial $2x^2 + 7x + 3$?
Which identity is used to factorise the expression $x^3 - y^3$?
Which identity is used to factorise the expression $x^3 - y^3$?
When factorising by grouping in pairs, what is the primary goal?
When factorising by grouping in pairs, what is the primary goal?
Which pair of factors could be generated for the expression $x^2 + 5x + 6$ during the factorisation process?
Which pair of factors could be generated for the expression $x^2 + 5x + 6$ during the factorisation process?
What must be true for an expression to be factorised using the difference of two squares identity?
What must be true for an expression to be factorised using the difference of two squares identity?
Which method involves creating pairs of terms to simplify expressions for factorisation?
Which method involves creating pairs of terms to simplify expressions for factorisation?
Which of the following is NOT a step in factorising a quadratic trinomial?
Which of the following is NOT a step in factorising a quadratic trinomial?
For the expression $x^3 + 8$, which identity is appropriate for factorisation?
For the expression $x^3 + 8$, which identity is appropriate for factorisation?
Which statement is true regarding the general procedure for factorising a trinomial?
Which statement is true regarding the general procedure for factorising a trinomial?
What does the expression $16 - x^2$ factor into using the difference of two squares identity?
What does the expression $16 - x^2$ factor into using the difference of two squares identity?
What is the result of factorising the expression $4x^2 - 25$ using the difference of two squares identity?
What is the result of factorising the expression $4x^2 - 25$ using the difference of two squares identity?
Which set of values correctly represents the factors of the quadratic trinomial $3x^2 + 14x + 8$?
Which set of values correctly represents the factors of the quadratic trinomial $3x^2 + 14x + 8$?
When applying the sum of two cubes identity, which of the following is the correct factorisation of $x^3 + 27$?
When applying the sum of two cubes identity, which of the following is the correct factorisation of $x^3 + 27$?
Which expression cannot be factored using the identity for the difference of two squares?
Which expression cannot be factored using the identity for the difference of two squares?
What is the first step in factorising the expression $2x^3 - 8x$ by taking out a common factor?
What is the first step in factorising the expression $2x^3 - 8x$ by taking out a common factor?
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