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Mathematics

SAT-38: Systems of Non-Linear Equations (Linear–Quadratic)

Chiziqni parabolaga qoʻying: qolgani oddiy kvadrat tenglama. Necha marta kesishishini diskriminant aytadi.

powerty

22 5m

Mathematics

SAT-37: Graphing Parabolas — Intercepts, Vertex, and Symmetry

Parabolani chizish uchun toʻrt narsa yetadi: y oʻqidagi nuqta, nollar, uch va simmetriya. Har bir koʻrinish ulardan bittasini bepul beradi.

powerty

25 5m

Mathematics

SAT-36: Finding Maximum and Minimum Values of a Quadratic

«Eng koʻp daromad», «eng katta maydon», «eng baland nuqta» — hammasi bitta narsani soʻraydi: parabolaning uchini. Qiyin qismi tenglamani matndan tuzish.

powerty

24 6m

Mathematics

SAT-35: Vertex Form of a Quadratic

y = a(x − h)² + k koʻrinishi uchni (h, k) toʻgʻridan-toʻgʻri koʻrsatadi. Standart koʻrinishdan uchni x = −b ÷ (2a) formulasi bilan toping.

powerty

22 5m

Mathematics

SAT-34: Determining Number and Type of Roots using the Discriminant

b² − 4ac ni hisoblab, tenglamani yechmasdan turib ildizlar sonini ayting: musbat — ikkita, nol — bitta, manfiy — haqiqiy ildiz yoʻq.

powerty

22 5m

Mathematics

SAT-33: The Quadratic Formula and the Discriminant

Ajratib boʻlmaydigan kvadrat tenglama ham yechiladi: formula har doim ishlaydi. Ildiz ostidagi ifoda — diskriminant — javobning shaklini oldindan aytadi.

powerty

17 5m

Mathematics

SAT-32: Factoring Advanced Quadratics (ax² + bx + c)

x² oldida son turganda AC usuli ishlatiladi: a·c ni koʻpaytiring, shu koʻpaytmani beradigan va b ni yigʻadigan ikki sonni toping, keyin guruhlang.

powerty

23 5m

Mathematics

SAT-Math-31: Factoring Standard Quadratics ($x^2 + bx + c$)

This lesson teaches students how to factor standard trinomial quadratics where the leading coefficient is 1, focusing on the "Product-Sum" method to find the correct binomial factors.

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30 2m

Mathematics

SAT-Math-30: Factoring: Difference of Squares and Perfect Square Trinomials

This lesson covers two high-yield special factoring shortcuts on the SAT—the Difference of Squares and Perfect Square Trinomials—enabling students to identify patterns and factor quadratic expressions instantly without using the grouping method.

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31 2m

Mathematics

SAT-Math-29: Factoring: Greatest Common Factor and Grouping

This lesson teaches students how to reverse polynomial multiplication by extracting the Greatest Common Factor (GCF) from an expression and applying the grouping method to factor multi-term polynomials.

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24 2m

Mathematics

SAT-Math-28: Multiplying Polynomials (FOIL and beyond)

This lesson teaches students how to multiply polynomial expressions, mastering the FOIL method for binomials and expanding to multi-term distribution systematically.

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21 1m

Mathematics

SAT-Math-27: Introduction to Polynomials: Adding and Subtracting

This lesson introduces polynomials, defining terms like degrees and leading coefficients, and teaches students how to accurately add and subtract polynomial expressions by grouping like terms.

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25 2m