GCSE Maths - Factorising Quadratics - Part 2 - (When the x^2 Coefficient is More Than 1) #50

The video tutorial explains how to factorize quadratic expressions, starting with simple quadratics and progressing to those with a leading coefficient greater than one. It demonstrates the process of finding factor pairs and using trial and error to identify the correct combination that satisfies the quadratic equation. The tutorial includes detailed examples to illustrate the steps involved in factorizing more complex quadratics.

What is the first step in factorizing a simple quadratic equation like X^2 + 10X + 16?

• Subtract the constant term

• Multiply the terms

• Write out a pair of brackets with an X in each

• Find the roots of the equation

When factorizing a quadratic where the coefficient of X^2 is greater than 1, what additional step is necessary?

• Multiply one of the factor pair numbers by the coefficient of X^2

• Add the coefficient to the constant term

• Subtract the coefficient from the X term

• Divide the constant term by the coefficient

In the example of factorizing 2X^2 + 9X + 10, which factor pair is used?

• 4 and 6

• 1 and 10

• 2 and 5

• 3 and 7

What is the result of expanding the brackets for the factorized form of 2X^2 + 9X + 10?

• 2X^2 + 8X + 10

• 2X^2 + 9X + 10

• X^2 + 9X + 10

• 2X^2 + 10X + 9

In the example of factorizing 3X^2 + 10X - 8, which factor pair is correct?

• -2 and 4

• 3 and -5

• 2 and -4

• 1 and -8

What is the importance of trial and error in factorizing quadratics with a coefficient greater than 1?

• It helps in finding the roots directly

• It ensures all possible factor pairs are considered

• It simplifies the equation

• It eliminates the need for brackets

Why might some factorization problems take longer than others?

• Because the constant term is zero

• Because the equation is already factorized

• Because the correct factor pair might be the last one tried

• Because the correct factor pair is always the first one tried