Quadratics by factorisation

Find roots by writing a quadratic as a product.

Understand the idea

For x² − Sx + P, look for two numbers whose sum is S and product is P. Then use the zero-product rule. These practice questions have two positive integer roots.

See a worked example

x² − 7x + 12 = (x − 3)(x − 4). Either factor can be zero, so x = 3 or 4.

A useful check

Keep both roots and check the signs in the factors.

Try a fresh practice set

Five questions with feedback on every answer. New sets can repeat familiar ideas so you can practise again. This is practice, not a certified assessment.

Number range / challenge

Ask your AI teacher about this

Continue on WhatsApp with this topic ready to send. Your bot plan limits apply. Verified website practice can help the bot choose relevant examples; your saved bot name and class stay unchanged.

Continue this topic on WhatsApp ↗

Connect and save progress · Choose another topic