Step 1: Identify the quadratic expressionWe have the quadratic expression in the form ax2+bx+c, where:- a=1- b=8- c=16 Step 2: Find two numbers that multiply to c and add to bWe need to find two numbers that multiply to 16 (the value of c) and add up to 8 (the value of...
Step 2: Identify the quadratic formNow, we can see that the expression is in the form of a quadratic equation:x2+(7+p)x+(6+6p) Step 3: Factor by groupingWe need to factor this expression. To do this, we will look for two numbers that multiply to 6+6p (the constant term) and...
Factoring polynomials is the method to find the factors of the polynomials. Learn to factorise any given polynomial by finding the GCF and with the help of solved examples at BYJU'S.
Factorise : x2+5x−6 View Solution Factorise : x2−5x+6 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 ...
Step 5: Factor the quadratic x2−22x+120Now we need to factor x2−22x+120. 1. Find two numbers that multiply to 120 and add to −22: The numbers are −10 and −12. Thus, we can factor the quadratic as:x2−22x+120=(x−10)(x−12) Final FactorizationCombining ever...
Step 7: Factor the quadraticTo factor 8t2−2t+1, we can look for two numbers that multiply to 8×1=8 and add to −2. The factors are −4 and 2:8t2−4t+2t−1Now, we can group the terms:(8t2−4t)+(2t−1)Factoring out common factors gives:4t(2t−1)+1(2t−1...
The following graph shows the temperature of a natient in a hospital, recorded every hour. What was the patient's temperature at 1 p.m.? View Solution Complete the following activity to sovle the quadratic equation by factorisation method : 25m2=9 View Solution निम्नल...
View Solution Factorise completely : (i)8x3−18xy2 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 ...
Factorise completely :x2+4xy+4y2−9z2 View Solution Factorise : 5a2−b2−4ab+7a−7b View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET prep...
Step 5: Factor the quadratic x2+6x−27Now we will factor x2+6x−27 using the middle-term splitting method. 1. We need two numbers that multiply to −27 and add to 6. These numbers are 9 and −3.2. Rewrite the quadratic: x2+9x−3x−27=(x2+9x)+(−3x−27)3. Fa...