11
To factorise the expression (4a + 12b), first identify the greatest common factor (GCF) of the coefficients. The GCF of 4 and 12 is 4. You can then factor out 4 from the expression: [ 4(a + 3b). ] Thus, the factorised form is (4(a + 3b)).
To factorise the expression (3f + 9), first identify the greatest common factor of the terms, which is 3. Then, factor out 3 from the expression: [ 3f + 9 = 3(f + 3). ] Thus, the factored form is (3(f + 3)).
2y2(3y - 1)
You cannot since the expression does not have rational roots.
You factor out 5 from the expression (10+5p). You get 2(5+p).
2x + 6 = 2(x+3)
14x + 114 = 2(7x + 57)
For each of a list of algebraic expressions, find one or more common factors and factorise the expression.
To factorise the expression (3f + 9), first identify the greatest common factor of the terms, which is 3. Then, factor out 3 from the expression: [ 3f + 9 = 3(f + 3). ] Thus, the factored form is (3(f + 3)).
You cannot since the expression does not have rational roots.
2y2(3y - 1)
You factor out 5 from the expression (10+5p). You get 2(5+p).
7 and 4
To factorise the expression (25x + 15y), first identify the greatest common factor (GCF) of the coefficients 25 and 15, which is 5. Then, factor out the GCF from the expression: [ 25x + 15y = 5(5x + 3y) ] So, the factored form is (5(5x + 3y)).
Look in an advanced maths book.Improved answer:-If the discriminant of the quadratic expression is less than zero then it's not possible to factor it.
To factorise the expression (5x^{10}), you can identify the common factors. The expression can be factored as (5 \cdot x^{10}). If you are looking to factor it further, you could express (x^{10}) as ((x^5)^2), but the primary factorization remains (5x^{10} = 5 \cdot x^{10}).
If it does not have a common factor, you cannot factorise it!