Factorise each of the following quadratic expressions completely.(a) 4x^2-16(b) 75-12p^2(c) 2x^2+10x+12(d) 3x(2x-11)+15 相关知识点: 试题来源: 解析(a)4x2-16=4(x2-4) 1,4 =u(x^2-2^2) 4 and 16=4 4c2(2) Pifference between 2 squares (b) 72-12P^2=3125-4P^2 =3[...
The expression a4−20a2+64 is a quadratic in terms of a2. We can let x=a2. Thus, the expression can be rewritten as:x2−20x+64 Step 2: Factor the quadratic expressionNext, we need to factor the quadratic x2−20x+64. We look for two numbers that multiply to 64 (the constant...
6. Factorise Expressions Begin to factorise an expression by taking out the common number factors 6b Factorise an expression by taking out the common number factors 6a Factorise an expression by taking out the common algebraic factors 7c Find the values of constants in an identity by factorising ...
Factorisex2+5x−24. View Solution Factorise4x2−12x+9. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
To factorize the quadratic expression of the form ax2+bx+c, splitting the middle term is one of the methods that can be applied. According to the splitting the middle method, we have to find two numbers d and e such that these two numbers satisfy these two conditions b=d+e and ac=de...
For this, we express the complete polynomial as a product of two factors - the given factor and a second degree polynomial, and then we easily factorize this last polynomial by using the formula for a quadratic equation. Answer and Explanation: ...
Factorise:25x2−9. Question: Factorise:25x2−9. Algebraic Identities: The quadratic expression that is given to factorize is set up in the form of the difference of two perfect squares. So, here we will apply the algebraic identities to factorize the given expression. The basic algebraic...
y2−3y Step 5: Factor the quadratic expressionWe can factor this expression:y(y−3) Step 6: Substitute back for yNow, substituting back y=x+1x:(x+1x)(x+1x−3) Final ExpressionThus, the factorised form of the original expression is:(x+1x)(x+1x−3) Show More ...
Next, we check if the quadratic 7x2−9x+5 can be factored further. We look for two numbers that multiply to 7×5=35 and add to −9. The numbers −5 and −4 work:7x2−5x−4x+5=(7x2−5x)+(−4x+5)Factoring by grouping:=x(7x−5)−1(4x−5)Thus, we can ...
Answer and Explanation:1 PART (A) F(x)=4x2−7x+3 Now we have to determine two such numbers that their product is 12 and their sum is 7. Pr... Learn more about this topic: Roots of a Quadratic Equation | Overview, Function & Formula ...